# The following table shows the

The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted.

 Personality Type Occupation E I Row Total Clergy (all denominations) 59 48 107 M.D. 72 90 162 Lawyer 51 86 137 Column Total 182 224 406

Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.

(a) What is the level of significance?

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

What are the degrees of freedom?

(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)

# The following table shows the

The following table shows the approximate value of exports and imports for the United States from 2006 through 2010.
Complete the table by calculating the surplus or deficit both in absolute (dollar) terms and as a percentage of GDP. If necessary, round your answers to the nearest hundredth.
Year
GDP
Exports
Imports
Exports – Imports
(Billions of dollars)
(Billions of dollars)
(Billions of dollars)
(Billions of dollars)
(Percentage of GDP)
2006 13,399.0 1,471.0 2,240.3

2007 14,062.0 1,661.7 2,375.7

2008 14,369.0 1,843.4 2,553.8

2009 14,119.0 1,578.4 1,964.7

2010 14,660.0 1,837.5 2,353.9

Source: “Income, Expenditures, Poverty, & Wealth: Gross Domestic Product (GDP),” United States Census Bureau, United States Department of Commerce, last modified September 2011, accessed June 10, 2013, https://www.census.gov/library/publications/2011/compendia/statab/131ed/income-expenditures-poverty-wealth.html.

Between 2007 and 2008, the

# The following table shows the

The following table shows the approximate value of exports and imports for the United States from 2006 through 2010.
Complete the table by calculating the surplus or deficit both in absolute (dollar) terms and as a percentage of GDP. If necessary, round your answers to the nearest hundredth.

 Year GDP Exports Imports Exports – Imports Exports – Imports (Billions of dollars) (Billions of dollars) (Billions of dollars) (Billions of dollars) (Billions of Dollars) (Percentage of GDP) 2006 13,399.00 1,471.00 2,240.30 -769.30 -5.74 2007 14,062.00 1,661.70 2,375.70 -714.00 -5.08 2008 14,369.00 1,843.40 2,553.80 -710.40 -4.94 2009 14,119.00 1,578.40 1,964.70 -386.30 -2.74 2010 14,660.00 1,837.50 2,353.90 -516.40 -3.52
Step 3

In 2006, Net Exports = \$1471.0 – \$2240.30 = -\$769.30.

Net Exports as percentage of GDP = -769.30 / 13399 * 100 = – 5.74%

Similarly has been calculated for other years

Between 2007 and 2008, the _____________       in dollar terms and ________________   as a percentage of GDP.

# The following table shows the

The following table shows the approximate value of exports and imports for the United States from 1983 through 1987.
Complete the table by calculating the surplus or deficit both in absolute (dollar) terms and as a percentage of GDP. If necessary, round your answers to the nearest hundredth.
Year
GDP
Exports
Imports
Exports – Imports
(Billions of dollars)
(Billions of dollars)
(Billions of dollars)
(Billions of dollars)
(Percentage of GDP)
1983 3,535.0 277.0 328.6

1984 3,931.0 302.4 405.1

1985 4,218.0 302.0 417.2

1986 4,460.0 320.3 452.9

1987 4,736.0 363.8 508.7

Source: “Income, Expenditures, Poverty, & Wealth: Gross Domestic Product (GDP),” United States Census Bureau, United States Department of Commerce, last modified September 2011, accessed June 10, 2013, https://www.census.gov/library/publications/2011/compendia/statab/131ed/income-expenditures-poverty-wealth.html.

Between 1983 and 1984, the        in dollar terms and    as a percentage of GDP.

# The following table shows the

The following table shows the Myers-Briggs personality preference and area of study for a random sample of 519 college students. In the table, IN refers to introvert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing; and ES refers to extrovert, sensing.

 Myers-BriggsPreference Arts & Science Business Allied Health Row Total IN 59 11 26 96 EN 86 37 31 154 IS 53 39 23 115 ES 77 42 35 154 Column Total 275 129 115 519

Use a chi-square test to determine if Myers-Briggs preference type is independent of area of study at the 0.05 level of significance.

Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

What are the degrees of freedom?

Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)

p-value > 0.100
0.050 < p-value < 0.100
0.025 < p-value < 0.050
0.010 < p-value < 0.025
0.005 < p-value < 0.010
p-value < 0.005

Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?

Since the P-value > α, we fail to reject the null hypothesis.
Since the P-value > α, we reject the null hypothesis.
Since the P-value ≤ α, we reject the null hypothesis.
Since the P-value ≤ α, we fail to reject the null hypothesis.

Interpret your conclusion in the context of the application.

At the 5% level of significance, there is sufficient evidence to conclude that Myers-Briggs type and area of study are not independent.
At the 5% level of significance, there is insufficient evidence to conclude that Myers-Briggs type and area of study are not independent.

# The following table shows the

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology.

Airline United
Continental
American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4

Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 190 empty seats, costing them a total of \$80,865. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?

United Continental empty _____ seats
American empty _____ seats
Southwest empty _____ seats

# The following table shows the

The following table shows the number of shirts by sizes that are manufactured in a factory on a
particular week:
Extra Small=390

Small=470

Medium=520

Large=680

Extra Large=440

a) It was discovered that the sizing of some shirts was labelled incorrectly.
(i) Give two reasons why it would be necessary to examine a sample of the shirts produced rather than examine the entire weekly production.
(ii) State two differences between a cluster sample and a stratified random sample in this situation.
(iii) Using the stratified random sampling technique, calculate the number of medium shirts that will be selected if we require a sample of 375 shirts.
(iv)State one advantage of using stratified random method for collecting this sample.

# The following table shows the

The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted.

 Personality Type Occupation E I Row Total Clergy (all denominations) 61 46 107 M.D. 71 91 162 Lawyer 54 83 137 Column Total 186 220 406

Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.

(a) What is the level of significance?

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

What are the degrees of freedom?

(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)

# The following table shows the

1. The following table shows the inventory of blood types at a blood bank.
 O A B AB Totals Rh Positive 140 121 32 10 303 Rh Negative 29 22 8 2 61 Totals 169 143 40 12 364

Find the following probabilities from randomly selected blood donations without replacement.

a. Calculate P(At least one Type B from 4 draws) =

b. Calculate P(Type O or Rh-Positive) =

c. Calculate P(Getting a Type B, given it’s Rh-Negative) =

d. Calculate P(Getting a Rh-Positive, given it’s Type O) =

# The following table shows the

The following table shows the approximate speed of sound in air, water, and steel:
Write a program that asks the user to enter “air”, “water”, or “steel”and the
distance that a sound wave will travel in the medium. The program should then
display the amount of time it will take. You can calculate the amount of time it
takes sound to travel in air with the following formula:
Time = Distance / 1,100
You can calculate the amount of time it takes sound to travel in water with the following formula:
Time = Distance / 4,900
You can calculate the amount of time it takes sound to travel in steel with the follow- ing
formula:
Time = Distance / 16,400

# The following table shows the

The following table shows the ages of 256 observers, distributed within eleven outlets  that are required:

First :   Choose a random sample using a 24-observers by  Microsoft Excel tool Pak

 outlet1 outlet2 outlet3 outlet4 outlet5 outlet6 outlet7 outlet8 outlet9 outlet10 outlet11 الفئات المنفذ الأول المنفذ الثاني المنفذ الثالث االمنفذ الرابع المنفذ الخامس االمنفذ السادس المنفذ السابع المنفذ الثامن المنفذ التاسع المنفذ العاشر المنفذالحادي عشر عينة عشوائية عينة منتظمة Categories 49 37 49 55 26 52 68 58 54 48 62 Random Periodic 20 23 43 59 59 62 48 66 58 34 48 54 25 26 26 27 48 58 38 60 40 60 64 48 30 42 47 55 50 39 66 78 48 56 48 54 35 35 36 29 61 40 38 66 34 46 64 62 40 45 51 43 42 48 50 58 30 60 54 78 45 39 40 47 44 52 40 58 34 60 62 54 50 36 46 47 45 50 44 50 40 44 66 68 55 54 47 52 61 46 40 48 28 50 56 48 60 47 49 47 39 46 44 56 28 48 44 50 65 59 45 52 50 68 26 48 40 58 60 58 70 59 50 34 50 28 52 48 44 48 52 60 75 46 37 50 43 44 34 40 68 58 48 72 80 47 73 49 30 34 38 48 44 50 50 48 57 41 51 47 50 48 50 48 60 50 54 46 40 49 57 52 56 52 62 40 44 60 41 39 55 49 42 60 36 60 50 50 56 46 40 47 59 50 58 56 52 34 54 54 43 44 59 47 46 64 58 58 44 52 78 74 37 67 45 48 42 50 50 30 44 78 48 29 44 46 40 44 56 62 42 58 60 48 41 57 43 46 60 20 48 54 68 50 49 24 59 47 54 56 54 54 54 66 68

# The following table shows the

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014. Set up a system and then solve using technology.

 Airline United Continental American JetBlue Southwest Cost 14.9 14.6 11.9 12.4

Suppose that, on a 3,000 – mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 240 empty seats, costing them a total of \$100,920. If United Continental had three times as many empty seats as American, how many empty seats did each of these airlines carry on its flight?

United Continental                 empty seats

American                                empty seats

Southwest                                empty seats

# The following table shows the

The following table shows the number of people that have either 0, 1, 2 or 3 cars registered in their name, from a sample of 315 people.

a) Complete the table.

 x Number of cars owned 0 89 1 89 2 62 3

(b Find the mean number of cars owned for this sample. Give your answer to at least 2 decimal places.

(c Find the standard deviation of cars owned for this sample. Give your answer to at least 2 decimal places.

# The following table shows the

The following table shows the cost, in millions of dollars, to a certain company of adding the given number of employees to each of its superstores.
 E = number ofnew employees C = cost 1 2 3 4 86.7 173.4 260.1 346.8
(a)
Find a linear model for the data in the table.
C(E) =

(b)
Explain in practical terms the meaning of the slope of the linear model you found in part (a).
The slope gives how much in sales each store must make to employee a new worker.The slope shows the cost every time a single store employs a new worker.    The slope gives how each employee affects the sales of each store location.The slope shows the cost, in millions of dollars, if every store hires an additional employee.The slope shows how many employees must be hired to increase cost by one million dollars.

# The following table shows the

The following table shows the length, in meters, of the winning long jump in the Olympic Games for the indicated year. (One meter is 39.37 inches.)

 Year Length 1900 1904 1908 1912 7.19 7.34 7.48 7.6
(a) Find the equation of the regression line that gives the length as a function of time. (Let t be the number of years since 1900 and L the length of the wining long jump, in meters. Round the regression line parameters to three decimal places.)

L(t) =

(b) Explain in practical terms the meaning of the slope of the regression line.

In practical terms the meaning of the slope,  meter per year, of the regression line is that each year the length of the winning long jump increased by an average of  meter, or about  inches.

(c) Plot the data points and the regression line.

(d) Would you expect the regression line formula to be a good model of the winning length over a long period of time?

The regression line is not necessarily a good model of the winning length over a long period of time.The regression line is a good model of the winning length over a long period of time.

(e) There were no Olympic Games in 1916 because of World War I, but the winning long jump in the 1920 Olympic Games was 7.15 meters. Compare this with the value that the regression line model gives. Is the result consistent with your answer to part (d)?

Yes, it is consistent.No, it is not consistent.

# The following table shows the

The following table shows the number of registered voters in three different regions and the political party in which they are registered.

 Republican Democrat Independent Total Region A 100 100 50 250 Region B 75 65 25 165 Region C 200 300 100 600 Total 375 465 175 1,015

Which of the following statements is supported by the table?

• The region with the greatest proportion of voters who are registered Democrat is region A.

The region with the greatest proportion of voters who are registered Democrat is region A.
A
• The region with the least proportion of voters who are registered Republican is region A.

The region with the least proportion of voters who are registered Republican is region A.
B
• The region with the greatest proportion of voters who are registered Republican is region B.

The region with the greatest proportion of voters who are registered Republican is region B.
C
• The proportion of voters who are registered Independent in region A is less than the proportion of voters who are registered Independent in region C.

The proportion of voters who are registered Independent in region A is less than the proportion of voters who are registered Independent in region C.
D
• The proportion of voters who are registered Republican in region C is greater than the proportion of voters who are registered Republican in region B.

The proportion of voters who are registered Republican in region C is greater than the proportion of voters who are registered Republican in region B.
E

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The following table shows the number of registered voters in three different regions and the political party in which they are registered.

 Republican Democrat Independent Total Region A 100 100 50 250 Region B 75 65 25 165 Region C 200 300 100 600 Total 375 465 175 1,015

Which of the following statements is supported by the table?

• The region with the greatest proportion of voters who are registered Democrat is region A.

The region with the greatest proportion of voters who are registered Democrat is region A.
A
• The region with the least proportion of voters who are registered Republican is region A.

The region with the least proportion of voters who are registered Republican is region A.
B
• The region with the greatest proportion of voters who are registered Republican is region B.

The region with the greatest proportion of voters who are registered Republican is region B.
C
• The proportion of voters who are registered Independent in region A is less than the proportion of voters who are registered Independent in region C.

The proportion of voters who are registered Independent in region A is less than the proportion of voters who are registered Independent in region C.
D
• The proportion of voters who are registered Republican in region C is greater than the proportion of voters who are registered Republican in region B.

The proportion of voters who are registered Republican in region C is greater than the proportion of voters who are registered Republican in region B.
E

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# The following table shows the

The following table shows the number of shirts by sizes that are manufactured in a factory on a
particular week:
Extra Small   Small   Medium   Large   Extra Large
390            470      520          680       440
a) It was discovered that the sizing of some shirts was labelled incorrectly.
(i) Give two reasons why it would be necessary to examine a sample of the shirts produced
rather than examine the entire weekly production.
(ii) State two differences between a cluster sample and a stratified random sample in this
situation.
(iii) Using the stratified random sampling technique, calculate the number of medium shirts
that will be selected if we require a sample of 375 shirts.
(iv)State one advantage of using stratified random method for collecting this sample.
b) Determine the level of measurement that describes the following
(i) The size of the shirt that a customer purchase
(ii) The total amount paid by the customer
(iii) The address of the factory that manufactures the shirts
c) A machine packages shirt in bags with a mean weight of 3 kg. A random sample of 20 bags
has a mean weight of 3.05 kg with a standard deviation of 0.05kg, From the data given, state the
value of a
(i) parameter
(ii) statistic

# The following table shows the

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]
Airline United
Continental
American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 210 empty seats, costing them a total of \$88,305. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?
United Continental ___ empty seats
American ___ empty sets
Southwest ___ empty seats

# The following table shows the

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]
Airline United
Continental
American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 240 empty seats, costing them a total of \$100,920. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?

# The following table shows the

The following table shows the rate R of vehicular involvement in traffic accidents (per 100,000,000 vehicle-miles) as a function of vehicular speed s, in miles per hour, for commercial vehicles driving at night on urban streets.

Speed s Accident rate R
20 1650
25 700
30 250
35 300
40 650
45 1350

(c) At what speed is vehicular involvement in traffic accidents (for commercial vehicles driving at night on urban streets) at a minimum? (Round your answer to the nearest whole number.)
mph

# The following table shows the

The following table shows the rate R of vehicular involvement in traffic accidents (per 100,000,000 vehicle-miles) as a function of vehicular speed s, in miles per hour, for commercial vehicles driving at night on urban streets.

Speed s Accident rate R
20 1500
25 650
30 350
35 300
40 700
45 1300
c) At what speed is vehicular involvement in traffic accidents (for commercial vehicles driving at night on urban streets) at a minimum? (Round your answer to the nearest whole number.)
mph

# The following table shows the

The following table shows the rate R of vehicular involvement in traffic accidents (per 100,000,000 vehicle-miles) as a function of vehicular speed s, in miles per hour, for commercial vehicles driving at night on urban streets.

Speed s Accident rate R
20 1500
25 650
30 350
35 300
40 700
45 1300
(a) Use regression to find a quadratic model for the data. (Round the regression parameters to two decimal places.)

R =

(b) Calculate

R(70).

R(70) =

Commercial vehicles driving at night on urban streets at  miles per hour have traffic accidents at a rate of  per 100,000,000 vehicle miles.

# The following table shows the

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]
Airline United
Continental
American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 165 empty seats, costing them a total of \$70,110. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?

# The following table shows the

solve a and b

The following table shows the rank attained by male and female officers in the New
York City Police Department (NYPD).
a)  Do these data indicate that men and women are equitably represented at all levels
of the department? Test using a p-value approach.

Male Female
Officer               21,900 4281
Detective             4058 806
Sergeant              3898 415
Lieutenant          1333 89
Captain                  359 12
Higher ranks         218 10

b) There are far more men than women in the police force in general. However, the NYC
Police Commission has set itself certain goals with respect to the positions of the females
among its ranks. Across the females they aim to target the same proportion by rank as
they do among the males. The target proportions by category are:
(1) Officer – 70% (2) Detectives – 15% (3) Sargent – 10%
(4) Lieutenant – 3% (5) Captain – 1% (6) Higher – 1%
Conduct a test to determine whether the proportions, by rank, among the female officers
adhere to these targets. Use a 0.05 level of significance and a critical value approach.

# The following table shows the

1. The following table shows the minimum wage rates for the United States during different years.
 Year 1978 1979 1980 1990 1991 1996 1997 2007 2008 2009 Minimum hourly wage (\$) 2.65 2.9 3.35 3.8 4.25 4.75 5.15 5.85 6.55 7.25

• Write the least squares regression equation that models the data. Let x equal time in years since 1900 and let y equal minimum hourly wage.
• Use the equation to estimate the minimum hourly wage of a US worker in 2025. Show your work.

# The following table shows the

The following table shows the cumulative number of cases of SARS (severe acute respiratory syndrome) on selected days during the outbreak in 2003. Here t is time in days since the beginning of April and N is the cumulative number of cases reported by time t

 t 19 22 24 29 N 3547 3947 4439 5642

Approximate the value of dN/dt at t=19 using the average rate of change from t=19 to t=22.
a. 155.55 cases per day
b. 144.44 cases per day
c. 133.33 cases per day
d. 122.22 cases per day

# The following table shows the

The following table shows the results of a repeated-measures analysis of variance comparing two treatment conditions with a sample of n = 12 participants. Note that several values are missing in the table. What is the missing value for SStotal? Hint – start with df to work out missing values.

 Source SS df MS Between ?? ?? ?? F = 4.00 Within ?? ?? Between Subjects 35 ?? Error ?? ?? ?? Total

• A. 80
• B. 148
• C. 45
• D. 47

# The following table shows the

The following table shows the number of hours per week supplied to a particular market by three individuals at various wage rates. Calculate the total hours per week (QT) supplied to the market.

Hours per Week

Hourly Wage                               Q1                Q2                Q3                QT

\$   15                                               20                  0                  0              ____

\$   16                                                25                  0                  0              ____

\$   17                                                 35                10                  0              ____

\$   18                                                 45                25                10              ____

\$   19                                                 42                40                30              ____

\$   20                                                  38                37                45              ____

Why does the quantity supplied tend to increase with the hourly wage? Which individuals, if any, have backward-bending supply curves in the wage range shown? Does the market supply curve bend backward in the wage range shown in the table? label your answers

explain very easy way to understand

# The following table shows the

The following table shows the total output produced in a factory at various levels of employment of labor. The firm sells each unit of output at \$4 and each worker is paid a wage of \$256.

Produce a table showing marginal product of labor (MPL), revenue, marginal revenue (MR), marginal revenue product (MRPL), and marginal profit (Mπ). Identify the number of workers needed to achieve maximized profit.

Workers Total output (Q)

1 116

2 236

3 360

4 482

5 5100

6 6112

7 7120

8 8122

9 9124

# The following table shows the

1. The following table shows the rank attained by male and female officers in the New York City Police Department (NYPD).
1. Do these data indicate that men and women are equitably represented at all levels of the department? Test using a p-value approach.
 Male Female Officer 21,900 4281 Detective 4058 806 Sergeant 3898 415 Lieutenant 1333 89 Captain 359 12 Higher ranks 218 10

2. There are far more men than women in the police force in general. However, the NYC Police Commission has set itself certain goals with respect to the positions of the females among its ranks. Across the females they aim to target the same proportion by rank as they do among the males. The target proportions by category are:

(1) Officer – 70%        (2) Detectives – 15%              (3) Sargent – 10%

(4) Lieutenant – 3%    (5) Captain – 1%                     (6) Higher – 1%

Conduct a test to determine whether the proportions, by rank, among the female officers adhere to these targets. Use a 0.05 level of significance and a critical value approach.

# The following table shows the

The following table shows the percent of water and the number of calories in various canned soups to which 100 g of water are added. (show all the necessary solution) Percent Water in Soups % Water Calories 83.3 28 92.3 26 91.9 39 89.4 57 89.5 57 90.5 36 91.9 32 91.7 32 a. Find the equation of the least squares line for the data. b. Use the equation in part a to find the expected number of calories in a soup that is 87% water. c. Determine the correlation coefficient of the data.

# The following table shows the

The following table shows the number of hours per week supplied to a particular market by three individuals at various wage rates. Calculate the total hours per week (QT) supplied to the market.

Hours per Week

Hourly Wage                               Q1                Q2                Q3                QT

\$   15                                               20                  0                  0              ____

\$   16                                                25                  0                  0              ____

\$   17                                                 35                10                  0              ____

\$   18                                                 45                25                10              ____

\$   19                                                 42                40                30              ____

\$   20                                                  38                37                45              ____

Why does the quantity supplied tend to increase with the hourly wage? Which individuals, if any, have backward-bending supply curves in the wage range shown? Does the market supply curve bend backward in the wage range shown in the table?

explain simple way to understand the consent thank you dear

# The following table shows the

The following table shows the rate R of vehicular involvement in traffic accidents (per 100,000,000 vehicle-miles) as a function of vehicular speed s, in miles per hour, for commercial vehicles driving at night on urban streets.

Speed s Accident rate R
20 1650
25 700
30 250
35 300
40 650
45 1350
(a) Use regression to find a quadratic model for the data. (Round the regression parameters to two decimal places.)

R =

(b) Calculate

R(50).

R(50) =

Commercial vehicles driving at night on urban streets at  miles per hour have traffic accidents at a rate of  per 100,000,000 vehicle miles.

(c) At what speed is vehicular involvement in traffic accidents (for commercial vehicles driving at night on urban streets) at a minimum? (Round your answer to the nearest whole number.)
mph

# The following table shows the

The following table shows the annual number of PhD graduates in a country in various fields.
Natural
Sciences
Engineering Social
Sciences
Education
1990 70 10 60 30
1995 130 40 120 50
2000 330 130 280 140
2005 490 370 460 210
2010 590 550 830 520
2012 690 590 1,000 900
(a)
With x = the number of social science doctorates and y = the number of education doctorates, use technology to obtain the regression equation. (Round coefficients to three significant digits.)
y(x) =

# The following table shows the

The following table shows the average monthly distance traveled (in billion miles) by vehicles on urban highways for five different years.
 Urban Highways – Average Monthly Distance Traveled by Vehicles (Billion Miles) Years Jan Feb Mar Apr May Jun July Aug Sep Oct Nov Dec Year 1 4.22 5.32 5.21 5.12 4.92 4.49 4.55 4.49 4.44 4.39 4.37 4.35 Year 2 4.31 5.44 5.34 5.24 4.98 4.59 4.68 4.65 4.61 4.68 4.74 4.79 Year 3 4.38 5.51 5.41 5.36 4.98 4.63 4.71 4.78 4.82 4.88 4.85 4.89 Year 4 4.45 5.59 5.5 5.41 5.01 4.72 4.78 4.79 4.82 4.92 5.06 5.11 Year 5 4.51 5.65 5.62 5.49 5.12 4.8 4.88 4.82 4.95 5.12 5.22 5.44

a. Construct a time series plot. What type of pattern exists in the data?

# The following table shows the

The following table shows the option of a Business in which the value at time zero means the disbursement, and the others, the expected revenues. By visual inspection, it appears that for an interest rate equal to zero, the return on this investment is positive, and for an interest rate of 50% per year the return is negative.
(Consider √69 = 8.307).
Values in reais Expiration date in years
-10,000 0
6,000 1
6,000 2
So, check the option that represents the internal annual rate of return for this Business proposal.
A8.33%
B13.07%.
C15.67%.
D16.61%.
E16.66%.

# The following table shows the

The following table shows the income, measured in thousands of dollars, from sales of a certain magazine at the start of the given year. Find an exponential model for the income where I is the income, measured in thousands of dollars, and t is the number of years since 2000. Round the parameters to the nearest hundredth.

 Year 2000 2001 2002 2003 2004 Income 7.54 8.02 8.52 9.05 9.62

a) I = 7.54 x 1.06^t
b) I = 7.51 x 0.52^t
c) I = 1.06 x 7.51^t
d) I = 7.54 x 0.52^t

# The following table shows the

The following table shows the number of registered voters in three different regions and the political party in which they are registered.

 Republican Democrat Independent Total Region A 100 100 50 250 Region B 75 65 25 165 Region C 200 300 100 600 Total 375 465 175 1,015

Which of the following statements is supported by the table?

A.) The region with the greatest proportion of voters who are registered Democrat is region A.

B.) The region with the least proportion of voters who are registered Republican is region A.

C.) The region with the greatest proportion of voters who are registered Republican is region B.

D.) The proportion of voters who are registered Independent in region A is less than the proportion of voters who are registered Independent in region C.

E.) The proportion of voters who are registered Republican in region C is greater than the proportion of voters who are registered Republican in region B.

# The following table shows the

## Understanding excess capacity

The following table shows the daily cost data and demand schedule for a typical firm producing board games in a monopolistically competitive market in the short run.
Fill in the values in the Marginal Cost, Total Revenue, and Marginal Revenue columns in the following table and then answer the questions that follow.
Quantity
Price
Total Cost
Marginal Cost
Total Revenue
Marginal Revenue
Average Total Cost
(Board games)
(Dollars per game)
(Dollars)
(Dollars)
(Dollars)
(Dollars)
(Dollars)
1 10.00 17

2 9.00 20

3 8.00 27

4 6.00 32

5 4.00 35

6 3.00 48

7 2.00 56

8 1.00 64

Under monopolistic competition, a typical firm will produce _____ board games at a price of  \$_____ per board game in the short run.

Based on your calculations, the firm will ________
a. earn a profit of \$2
b. break even
c. suffer an economic loss of \$2
d. suffer and economic loss of \$18

Fill in the Average Total Cost column in the previous table.
Based on your calculations, the level of excess capacity in this monopolistically competitive market is ______ .

How many board games
a. 1
b. 2
c. 5
d. 3
e. 4

# The following table shows the

The following table shows the contents of a 4-entry TLB.

 Entry-ID Valid VA Page Modified Protection PA Page 1 2 3 4 1 0 1 1 140 40 200 280 1 0 1 0 RW RX RO RW 30 34 32 31

Under what scenarios would entry 2’s valid bit be set to zero?
What happens when an instruction writes to VA page 30? When would a soft ware managed TLB be faster than a hardware managed TLB?
What happens when an instruction writes to VA page 200?

# The following table shows the

The following table shows the processes that compose the production line for the manufacture of canned food. The line operates (8) Hours a day, with the aim of producing (2,400) boxes per day.

1- Draw a diagram of the sequence of production line operations.

2- Calculate the theoretical minimum number of work stations.

3- Calculate the equilibrium efficiency of the line and the ratio Idle time for each station.

4- Distribute operations to workstations.

 Standard time process (Per second) the previous process A 3 ــــــــ B 5 A C 7 ــــــــ D 4 C E 6 B,D F 3 E G 9 E H 4 E I 5 G J 6 F,I.H K 4 J ∑

# The following table shows the

The following table shows the results of a survey of authors by a fictitious publishing company.

 New Authors EstablishedAuthors Total Successful 6 24 30 Unsuccessful 15 54 69 Total 21 78 99

Consider the following subsets of the set S of all authors represented in the table: C, the set of successful authors; U, the set of unsuccessful authors; N, the set of new authors; and E, the set of established authors. HINT [See Example 3.]

Describe the set C ∩ N in words.

The set of authors who are either successful or new (or both).The set of authors who are both successful and new.    The set of authors who are either unsuccessful or new (or both).The set of authors who are both unsuccessful and new.The set of authors who are successful but not new.

Describe the set C ∪ N in words.

The set of authors who are both unsuccessful and new.The set of authors who are either unsuccessful or new (or both).    The set of authors who are unsuccessful but not new.The set of authors who are either successful or new (or both).The set of authors who are both successful and new.

Use the table to compute n(C), n(N), n(C ∩ N), and n(C ∪ N).

 n(C) = n(N) = n(C ∩ N) = n(C ∪ N) =

Does

n(C ∪ N) = n(C) + n(N) − n(C ∩ N)?
Yes
No

# The following table shows the

Question 1
The following table shows the number of shirts by sizes that are manufactured in a factory on a
particular week:
Extra small     Small            Medium    Large    Extra Large
390                470                    520         680             440

b) Determine the level of measurement that describes the following
(i) The size of the shirt that a customer purchase
(ii) The total amount paid by the customer
(iii) The address of the factory that manufactures the shirts
c) A machine packages shirt in bags with a mean weight of 3 kg. A random sample of 20 bags
has a mean weight of 3.05 kg with a standard deviation of 0.05kg, From the data given, state the
value of a
(i) parameter
(ii) statistic

# The following table shows the

The following table shows the annual number of PhD graduates in a country in various fields.
Natural
Sciences
Engineering Social
Sciences
Education
1990 70 10 50 30
1995 130 40 100 40
2000 330 130 280 130
2005 490 370 470 210
2010 590 550 830 520
2012 690 590 1,000 900
(a)
Use technology to obtain the regression equation and the coefficient of correlation r for the number of social science doctorates as a function of time t in years since 1990. (Round coefficients to three significant digits. Round your r-value to three decimal places.)
y(t) =

r =

# The following table shows the

The following table shows the income from sales of a certain magazine, measured in thousands of dollars, at the start of the given year.

Year Income
2005 7.73
2006 8.76
2007 9.79
2008 10.82
2009 11.85
2010 13.15
2011 14.60
2012 16.21

Over an initial period the sales grew at a constant rate, and over the rest of the time the sales grew at a constant percentage rate. Calculate differences and ratios to determine what these time periods are. (Round your answers to two decimal places.)

Interval New income
(in thousands of dollars)
Old income
(in thousands of dollars)
Difference
 New Old

ratio

2005 to 2006
2006 to 2007
2007 to 2008
2008 to 2009
2009 to 2010
2010 to 2011
2011 to 2012

Find the growth rate or percentage growth rate, as appropriate.

From 2005 to  , the magazine sales exhibit a constant growth rate of  thousand dollars per year. From  to 2012, sales grew at a constant proportional rate, that is, each year’s sales are  times those of the previous year. This is a growth rate of  % per year.

# The following table shows the

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]

Airline United
Continental
American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 180 empty seats, costing them a total of \$75,690. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?

# The following table shows the

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]
Airline United
Continental
American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 265 empty seats, costing them a total of \$113,130. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?
United Continental empty seats American empty seats Southwest empty seats

# The following table shows the

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]
Airline United
Continental
American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 160 empty seats, costing them a total of \$68,250. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?

# The following table shows the

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]
Airline United
Continental
American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 235 empty seats, costing them a total of \$100,515. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?

# The following table shows the

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]
Airline United
Continental
American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 250 empty seats, costing them a total of \$106,095. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?

# The following table shows the

The following table shows the average yearly tuition and required fees, in dollars, charged by four-year American private universities in the school year beginning in the given year.

Date Average tuition
2012 \$27,870
2013 \$29,004
2014 \$30,138
2015 \$31,272
2016 \$32,406
(a) Show that these data can be modeled by a linear function.

For each change of 1 year in time there is an increase of \$  in tuition.

Find its formula. (Let d be the date in terms of number of years since 2012 and T tuition in dollars.)

T(d) =

(b) Plot the data points and add the graph of the linear formula you found in part (a).

(c) What prediction does this formula give for average tuition and fees at four-year American private universities for the academic year ending in 2018?

# The following table shows the

The following table shows the price of Amazon’s Kindle 2 e-book reader. It is adapted from data available on the web.† Here time is measured in months since February 2009, when the Kindle was launched.

Time Price
0 \$349
5 \$299
10 \$249
15 \$199
(a) By calculating differences, show that these data can be modeled using a linear function.

A table of differences shows a common difference of  dollars every 5 months.

(b) Find a linear formula that models these data. Be careful about the sign of the slope. (Let t be the time in months since February 2009, and let K be the price in dollars.)

K =

(c) What price does your formula from part (b) project for February 2012 (36 months after the Kindle was launched)? Note: The web data were the basis for speculation that some day the Kindle will be free.
dollar(s)

# The following table shows the

The following table shows the rate R of vehicular involvement in traffic accidents (per 100,000,000 vehicle-miles) as a function of vehicular speed s, in miles per hour, for commercial vehicles driving at night on urban streets.

Speed s Accident rate R
20 1650
25 600
30 350
35 200
40 700
45 1350
(a) Use regression to find a quadratic model for the data. (Round the regression parameters to two decimal places.)

R =

(b) Calculate

R(55).

R(55) =

Commercial vehicles driving at night on urban streets at miles per hour have traffic accidents at a rate of per 100,000,000 vehicle miles.

(c) At what speed is vehicular involvement in traffic accidents (for commercial vehicles driving at night on urban streets) at a minimum? (Round your answer to the nearest whole number.)
mph

# The following table shows the

The following table shows the number of shirts by sizes that are manufactured in a factory on a
particular week:
Extra Small Small Medium Large Extra Large
390 470 520 680 440

Determine the level of measurement that describes the following
(i) The size of the shirt that a customer purchased
(ii) The total amount paid by the customer
(iii) The address of the factory that manufactures the shirts

A machine packages shirt in bags with a mean weight of 3 kg. A random sample of 20 bags
has a mean weight of 3.05 kg with a standard deviation of 0.05kg, From the data given, state the

value of a
(i) parameter 
(ii) statistic

# The following table shows the

The following table shows the percentage P = P(d) of the American food dollar that was spent on eating away from home (at restaurants, for example) as a function of the date d.

d = Year P = Percent spent
away from home
1969 25%
1989 30%
2009 34%
(a) Find P(1969).
%
%

(c) What is the average rate of change per year in percentage of the food dollar spent away from home for the period from 1989 to 2009?
% points per year

Estimate P(2008). (Hint: Your calculation in part (c) should be useful.)
%

(e) Estimate the value of P(2012).
%

 P(2012) = 34 +  × 0.2 = %

# The following table shows the

The following table shows the performance criteria, weights, and scores (1 = worst, 10 = best) for a new product: a thermal storage air conditioner. If management wants to introduce just one new product and the highest total score of any of the other product ideas is 800, should the firm pursue making the air conditioner?

 Performance Criterion Weight (A) Score (B) Weighted Score (A x B) Market potential Unit profit margin Operations compatibility Competitive advantage Investment requirement Project risk 30 20 20 15 10 5 8 10 6 10 2 4 240 200 120 150 20 20 Weighted score = 750

# The following table shows the

The following table shows the approximate speed of sound in air, water, and steel: Write a program that asks the user to enter “air”, “water”, or “steel” and the distance that a sound wave will travel in the medium. The program should then display the amount of time it will take.  You can calculate the amount of time it takes sound to travel in air with the following formula:  Time = Distance / 1,100 You can calculate the amount of time it takes sound to travel in water with the following formula: Time = Distance / 4,900 You can calculate the amount of time it takes sound to travel in steel with the following formula: Time = Distance / 16,400

# The following table shows the

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]
Airline United
Continental
American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 210 empty seats, costing them a total of \$89,760. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?

# The following table shows the

The following table shows the average annual income in a certain country, adjusted for inflation, for the given year.
t = years since 1980 I = annual income
0 \$23,009
5 \$23,216
10 \$25,184
15 \$26,694
20 \$30,619
25 \$30,250
30 \$28,838
(a)
Find the equation of the regression line. (Round regression line parameters to two decimal places.)
I(t) =

22863.21+266.36t

(b)
Plot the data along with the regression line.

(c)
Explain in practical terms the meaning of the slope of the regression equation. (Round your answers to two decimal places.)
The slope of the regression line is dollars per year. The slope means that, from 1980 on, the average annual income (adjusted for inflation) grew by \$ each year.
(d)
During which year since 1990 was income much lower than would be expected from the regression model?
1995 2000     2005 2010

# The following table shows the

The following table shows the cross-classification of accounting practices (either straight line, declining balance, or both) and country (either France, Germany, or United Kingdom).

 France Germany United Kingdom Straight Line 20 11 30 Declining Balance 14 16 15 Both 15 23 13

a.Set up the competing hypotheses to determine if accounting practice and country are dependent.

b.What is the degrees of freedom for the test.

c.Calculate the value of the test statistic ( x2)

d.Compute the p-value.

e. Does the evidence suggest market capitalization and objective are dependent at the 1% significance level?

# The following table shows the

The following table shows the average annual income in a certain country, adjusted for inflation, for the given year.
t = years since 1980 I = annual income
0 \$23,109
5 \$23,216
10 \$25,384
15 \$26,694
20 \$30,719
25 \$30,450
30 \$28,738
(a)
Find the equation of the regression line. (Round regression line parameters to two decimal places.)
I(t) =

(b)
Plot the data along with the regression line.

(c)
Explain in practical terms the meaning of the slope of the regression equation. (Round your answers to two decimal places.)
The slope of the regression line is  dollars per year. The slope means that, from 1980 on, the average annual income (adjusted for inflation) grew by \$  each year.
(d)
During which year since 1990 was income much lower than would be expected from the regression model?
19952000    20052010

# The following table shows the

The following table shows the average yearly tuition and required fees, in dollars, charged by four-year American private universities in the school year beginning in the given year.

Date Average tuition
2012 \$27,870
2013 \$29,004
2014 \$30,138
2015 \$31,272
2016 \$32,406
(a) Show that these data can be modeled by a linear function.

For each change of 1 year in time there is an increase of \$  in tuition.

Find its formula. (Let d be the date in terms of number of years since 2012 and T tuition in dollars.)

T(d) =

# The following table shows the

The following table shows the price of Amazon’s Kindle 2 e-book reader. It is adapted from data available on the web.† Here time is measured in months since February 2009, when the Kindle was launched.

Time Price
0 \$349
5 \$299
10 \$249
15 \$199
(a) By calculating differences, show that these data can be modeled using a linear function.

A table of differences shows a common difference of  dollars every 5 months.

(b) Find a linear formula that models these data. Be careful about the sign of the slope. (Let t be the time in months since February 2009, and let K be the price in dollars.)

K =

(c) What price does your formula from part (b) project for March 2012 (37 months after the Kindle was launched)? Note: The web data were the basis for speculation that some day the Kindle will be free.
dollar(s)

# The following table shows the

The following table shows the cross-classification of accounting practices (either straight line, declining balance, or both) and country (either France, Germany, or United Kingdom).

 France Germany United Kingdom Straight Line 20 11 30 Declining Balance 14 16 15 Both 15 23 13

1. Set up the competing hypotheses to determine if accounting practice and country are dependent.
2. What is the degrees of freedom for the test.
3. Calculate the value of the test statistic ( ).
4. Compute the p-value.
5. Does the evidence suggest market capitalization and objective are dependent at the 1% significance level?

# The following table shows the

The following table shows the number of prescriptions a doctor wrote each day for a 36-day period. Use the median procedure for finding quartiles to find the first, second, and third quartiles for the data. After this, construct the box-and-whisker plots.

Number of Prescriptions Written per Day

8          7          11          9          10          14

12       14         12         14         14         10

14       10          8           15         8           9

10        7           14         12         7           15

9          11          13        10         12         10

16        16          10         8          15         12

# The following table shows the

The following table shows the average number of hours worked per week at a place of…

Calculus Functions. See attached file for full problem description.

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