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.
(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
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 |
|
|
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 |
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.
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 |
|
|
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-Briggs Preference |
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.)
Airline | United Continental |
American | JetBlue | Southwest |
---|---|---|---|---|
Cost (¢) | 14.9 | 14.6 | 11.9 | 12.4 |
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 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.
(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
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 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 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 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 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.
E = number of new employees |
1 | 2 | 3 | 4 |
---|---|---|---|---|
C = cost | 86.7 | 173.4 | 260.1 | 346.8 |
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 | 1900 | 1904 | 1908 | 1912 |
---|---|---|---|---|
Length | 7.19 | 7.34 | 7.48 | 7.60 |
(b) Explain in practical terms the meaning of the slope of the regression line.
(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?
Explain your reasoning.
(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)?
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 least proportion of voters who are registered Republican is region A.
The region with the greatest proportion of voters who are registered Republican is region B.
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 Republican in region C is greater than the proportion of voters who are registered Republican in region B.
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 least proportion of voters who are registered Republican is region A.
The region with the greatest proportion of voters who are registered Republican is region B.
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 Republican in region C is greater than the proportion of voters who are registered Republican in region B.
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
Airline | United Continental |
American | JetBlue | Southwest |
---|---|---|---|---|
Cost (¢) | 14.9 | 14.6 | 11.9 | 12.4 |
Airline | United Continental |
American | JetBlue | Southwest |
---|---|---|---|---|
Cost (¢) | 14.9 | 14.6 | 11.9 | 12.4 |
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 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 |
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 |
(b) Calculate
(Round your answer to two decimal places.)
Explain what your answer means in practical terms.
Airline | United Continental |
American | JetBlue | Southwest |
---|---|---|---|---|
Cost (¢) | 14.9 | 14.6 | 11.9 | 12.4 |
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.
Year |
1978 |
1979 |
1980 |
1990 |
1991 |
1996 |
1997 |
2007 |
2008 |
2009 |
Minimum hourly wage ($) |
2.65 |
2.90 |
3.35 |
3.80 |
4.25 |
4.75 |
5.15 |
5.85 |
6.55 |
7.25 |
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 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 |
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 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
|
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 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 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 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 |
(b) Calculate
(Round your answer to two decimal places.)
Explain what your answer means in practical terms.
(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
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 |
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 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 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.
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 |
|
|
||
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 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 results of a survey of authors by a fictitious publishing company.
New Authors | Established Authors |
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.
Describe the set C ∪ N in words.
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
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
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 |
r =
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 |
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.
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 |
Airline | United Continental |
American | JetBlue | Southwest |
---|---|---|---|---|
Cost (¢) | 14.9 | 14.6 | 11.9 | 12.4 |
Airline | United Continental |
American | JetBlue | Southwest |
---|---|---|---|---|
Cost (¢) | 14.9 | 14.6 | 11.9 | 12.4 |
Airline | United Continental |
American | JetBlue | Southwest |
---|---|---|---|---|
Cost (¢) | 14.9 | 14.6 | 11.9 | 12.4 |
Airline | United Continental |
American | JetBlue | Southwest |
---|---|---|---|---|
Cost (¢) | 14.9 | 14.6 | 11.9 | 12.4 |
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 |
Find its formula. (Let d be the date in terms of number of years since 2012 and T tuition in dollars.)
(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 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 |
(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.)
(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 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 |
(b) Calculate
(Round your answer to two decimal places.)
Explain what your answer means in practical terms.
(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 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 [1]
(ii) statistic
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% |
(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
(e) Estimate the value of P(2012).
%
Explain how you made your estimate.
P(2012) | = | 34 + × 0.2 |
= | % |
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 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
Airline | United Continental |
American | JetBlue | Southwest |
---|---|---|---|---|
Cost (¢) | 14.9 | 14.6 | 11.9 | 12.4 |
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 |
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?
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 |
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 |
Find its formula. (Let d be the date in terms of number of years since 2012 and T tuition in dollars.)
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 |
(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.)
(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 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 |
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 average number of hours worked per week at a place of…
Calculus Functions. See attached file for full problem description.
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