Question 201268This question is from textbook Applied Statistics in Business and Economics
: Chapter 11: Exercise 11.2 (ANOVA)
11.2 One particular morning, the length of time spent in the examination rooms is recorded for each patient seen by each physician at an orthopedic clinic. Does the data prove a significant difference in mean times? Physicians
Scrap Rate (Per Thousand Units)
FIGURE 11.12
MINITAB’s one-factor ANOVA
Physician 1 Physician 2 Physician 3 Physician 4
34 33 17 28
25 35 30 33
27 31 30 31
31 31 26 27
26 42 32 32
34 33 28 33
21 26 40
29
12.60 Below are revenue and profit (both in $ billions) for nine large entertainment companies.
(a) Make a scatter plot of profit as a function of revenue.
(b) Use Excel to fit the regression, with fitted equation and R2.
(c) In your own words, describe the fit. (Data are from Fortune 149, no. 7 [April 5, 2005], p. F-50.) Entertainment
Revenue and Profit of Nine Entertainment Companies
Company Revenue Profit
AMC Entertainment 1.792 −0.020
Clear Channel Communication 8.931 1.146
Liberty Media 2.446 −0.978
Metro-Goldwyn-Mayer 1.883 −0.162
Regal Entertainment Group 2.490 0.185
Time Warner 43.877 2.639
Univision Communications 1.311 0.155
Viacom 26.585 1.417
Walt Disney 27.061 1.267
Chapter 15: Exercise 15.6 (Chi-Square)
15.6 Advertisers need to know which age groups are likely to see their ads. Purchasers of 120 copies of Cosmopolitan are shown by age group.
(a) Make a bar chart and describe it.
(b) Calculate expected frequencies for each class.
(c) Perform the chi-square test for a uniform distribution. At α = .01, does this sample contradict the assumption that readership is uniformly distributed among these six age groups? (See J. Paul Peter and Jerry C. Olson, Consumer Behavior and Marketing Strategy, 9th ed. [McGraw-Hill, 2004], p. 300.) Cosmo
Purchaser Age Units Sold
18–24 38
25–34 28
35–44 19
45–54 16
55–64 10
65+ 9
Total 120
This question is from textbook Applied Statistics in Business and Economics
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! One particular morning, the length of time spent in the examination rooms is recorded for each patient seen by each physician at an orthopedic clinic. Does the data prove a significant difference in mean times? Physicians
Scrap Rate (Per Thousand Units)
FIGURE 11.12
MINITAB’s one-factor ANOVA
Physician 1 Physician 2 Physician 3 Physician 4
34 33 17 28
25 35 30 33
27 31 30 31
31 31 26 27
26 42 32 32
34 33 28 33
21 26 40
29
---------------------
Ho: The means are all equal.
Ha: At least one of the means is different
---------------------
I ran the ANOVA function on a TI calculator and got:
F = 1.228...
p-value = 0.3212
---
Conclusion: Since the p-value is greater than 5%,
Fail to reject Ho.
The means are statistically the same for the four
doctors.
====================================================
12.60 Below are revenue and profit (both in $ billions) for nine large entertainment companies.
(a) Make a scatter plot of profit as a function of revenue.
Comment: That cannot be shown on this site.
Just plot the ordered pairs listed below.
------------
(b) Use Excel to fit the regression, with fitted equation and R2.
I ran a linear regression program against the listed ordered pairs and got
Profit = 0.06269(revenue) - 0.18299...
R^2 = 0.8206
---------------------------------
(c) In your own words, describe the fit.
The linear fit is fairly good. R^2 = 0.82 indicates that
82% of the variability between profit and revenue is
described by the regression equation.
---------------------------------------
(Data are from Fortune 149, no. 7 [April 5, 2005], p. F-50.) Entertainment
Revenue and Profit of Nine Entertainment Companies
Company Revenue Profit
AMC Entertainment 1.792 −0.020
Clear Channel Communication 8.931 1.146
Liberty Media 2.446 −0.978
Metro-Goldwyn-Mayer 1.883 −0.162
Regal Entertainment Group 2.490 0.185
Time Warner 43.877 2.639
Univision Communications 1.311 0.155
Viacom 26.585 1.417
Walt Disney 27.061 1.267
===========================================
Chapter 15: Exercise 15.6 (Chi-Square)
15.6 Advertisers need to know which age groups are likely to see their ads. Purchasers of 120 copies of Cosmopolitan are shown by age group.
(a) Make a bar chart and describe it.
Comment: A bar chart cannot be illustrated on this site.
---
(b) Calculate expected frequencies for each class.
There are 120 data items in 6 classes. The expected
number for each class is 120/6 = 20
-----------------
(c) Perform the chi-square test for a uniform distribution. At α = .01, does this sample contradict the assumption that readership is uniformly distributed among these six age groups?
I ran a Chi Sq Goodness of Fit test against the six (observed,expected) data
pairs and got the following results:
Ho: The observed frequency values are uniformly distributed.
Ha: The frequency values are not uniformly distributed.
---
Chi-Sq = 31.3
p-value = 0.0000081725
Conclusion: Since the p-value is less than 1% Reject Ho.
The observed values are not uniformly distributed.
===============================================================
(See J. Paul Peter and Jerry C. Olson, Consumer Behavior and Marketing Strategy, 9th ed. [McGraw-Hill, 2004], p. 300.) Cosmo
Purchaser Age Units Sold
18–24 38
25–34 28
35–44 19
45–54 16
55–64 10
65+ 9
Total 120
This question is from textbook Applied Statistics in Business and Economics
: Chapter 11: Exercise 11.2 (ANOVA)
-----------------------------------------------------------
11.2 One particular morning, the length of time spent in the examination rooms is recorded for each patient seen by each physician at an orthopedic clinic. Does the data prove a significant difference in mean times? Physicians
Scrap Rate (Per Thousand Units)
FIGURE 11.12
MINITAB’s one-factor ANOVA
Physician 1 Physician 2 Physician 3 Physician 4
34 33 17 28
25 35 30 33
27 31 30 31
31 31 26 27
26 42 32 32
34 33 28 33
21 26 40
29
12.60 Below are revenue and profit (both in $ billions) for nine large entertainment companies.
(a) Make a scatter plot of profit as a function of revenue.
(b) Use Excel to fit the regression, with fitted equation and R2.
(c) In your own words, describe the fit. (Data are from Fortune 149, no. 7 [April 5, 2005], p. F-50.) Entertainment
Revenue and Profit of Nine Entertainment Companies
Company Revenue Profit
AMC Entertainment 1.792 −0.020
Clear Channel Communication 8.931 1.146
Liberty Media 2.446 −0.978
Metro-Goldwyn-Mayer 1.883 −0.162
Regal Entertainment Group 2.490 0.185
Time Warner 43.877 2.639
Univision Communications 1.311 0.155
Viacom 26.585 1.417
Walt Disney 27.061 1.267
Chapter 15: Exercise 15.6 (Chi-Square)
15.6 Advertisers need to know which age groups are likely to see their ads. Purchasers of 120 copies of Cosmopolitan are shown by age group.
(a) Make a bar chart and describe it.
(b) Calculate expected frequencies for each class.
(c) Perform the chi-square test for a uniform distribution. At α = .01, does this sample contradict the assumption that readership is uniformly distributed among these six age groups? (See J. Paul Peter and Jerry C. Olson, Consumer Behavior and Marketing Strategy, 9th ed. [McGraw-Hill, 2004], p. 300.) Cosmo
Purchaser Age Units Sold
18–24 38
25–34 28
35–44 19
45–54 16
55–64 10
65+ 9
Total 120
Cheers,
Stan H.
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