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 MyersBriggs 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.
MyersBriggs 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 chisquare test to determine if MyersBriggs preference type is independent of area of study at the 0.05 level of significance.
Find the value of the chisquare 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 Pvalue of the sample test statistic. (Round your answer to three decimal places.)
The following table shows the rate R of vehicular involvement in traffic accidents (per 100,000,000 vehiclemiles) 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 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 
∑ 


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 


Airline  United Continental 
American  JetBlue  Southwest 

Cost (¢)  14.9  14.6  11.9  12.4 
The following table shows the contents of a 4entry TLB.
EntryID  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?
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 fouryear 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 fouryear American private universities for the academic year ending in 2018?
$
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 rate R of vehicular involvement in traffic accidents (per 100,000,000 vehiclemiles) 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.
The following table shows the rate R of vehicular involvement in traffic accidents (per 100,000,000 vehiclemiles) 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
Airline  United Continental 
American  JetBlue  Southwest 

Cost (¢)  14.9  14.6  11.9  12.4 
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 rate R of vehicular involvement in traffic accidents (per 100,000,000 vehiclemiles) 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 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.
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 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 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 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.
Airline  United Continental 
American  JetBlue  Southwest 

Cost (¢)  14.9  14.6  11.9  12.4 
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 crossclassification 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 ( x^{2})
d.Compute the pvalue.
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 
Airline  United Continental 
American  JetBlue  Southwest 

Cost (¢)  14.9  14.6  11.9  12.4 
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 RhPositive) =
c. Calculate P(Getting a Type B, given it’s RhNegative) =
d. Calculate P(Getting a RhPositive, given it’s Type O) =
The following table shows the ages of 256 observers, distributed within eleven outlets that are required:
First : Choose a random sample using a 24observers 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  
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.
The following table shows the MyersBriggs 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 chisquare test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.
(c) Find or estimate the Pvalue of the sample test statistic. (Round your answer to three decimal places.)
The following table shows the price of Amazon’s Kindle 2 ebook 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 crossclassification 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 average yearly tuition and required fees, in dollars, charged by fouryear 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 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
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

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 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
E = number of new employees 
1  2  3  4 

C = cost  86.7  173.4  260.1  346.8 
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 number of hours per week supplied to a particular market by three individuals at various wage rates. Calculate the total hours per week (Q_{T}) supplied to the market.
Hours per Week
Hourly Wage Q_{1} Q_{2} Q_{3} Q_{T}
$ 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 backwardbending 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
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 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 price of Amazon’s Kindle 2 ebook 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)
Airline  United Continental 
American  JetBlue  Southwest 

Cost (¢)  14.9  14.6  11.9  12.4 
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 =
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 pvalue 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.
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 
The following table shows the number of prescriptions a doctor wrote each day for a 36day period. Use the median procedure for finding quartiles to find the first, second, and third quartiles for the data. After this, construct the boxandwhisker 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
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 


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 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 results of a repeatedmeasures 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 SS_{total}? 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 (Q_{T}) supplied to the market.
Hours per Week
Hourly Wage Q_{1} Q_{2} Q_{3} Q_{T}
$ 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 backwardbending 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 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 MyersBriggs 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 chisquare test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.
(c) Find or estimate the Pvalue 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 rate R of vehicular involvement in traffic accidents (per 100,000,000 vehiclemiles) 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
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 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 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 (MP_{L}), revenue, marginal revenue (MR), marginal revenue product (MRP_{L}), 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
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.
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 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 
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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