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# ANOVA, Chi square test, Regression

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15.2 Teenagers make up a large percentage of the market for clothing. Below are data on running shoe ownership in four world regions (excluding China). Research question: At &#945; = .01, does this sample show that teenage running shoe ownership depends on world region? (See J. Paul Peter and Jerry C. Olson, Consumer Behavior and Marketing Strategy, 9th ed. [McGraw-Hill, 2004], p. 64.) Running

Running Shoe Ownership in World Regions
Owned By U.S. Europe Asia Latin America Row Total
Teens 80 89 69 65 303
Adults 20 11 31 35 97
Col Total 100 100 100 100 400

15.9 Ages of 56 attendees of a Harry Potter movie are shown. (a) Form seven age classes (10 to 20, 20 to 30, etc.). Tabulate the frequency of attendees in each class. (b) Calculate expected frequencies for each class. (c) Perform a chi-square GOF test for a uniform distribution, using the 5 percent level of significance. Harry

10 22 58 11 73 22 57
35 33 33 59 54 55 75
79 24 13 73 52 69 30
71 64 17 50 72 67 50
72 35 26 59 47 65 35
64 34 39 66 37 41 58
51 43 29 74 73 50 62
58 34 50 27 13 67 67

16.4 Final exam scores for a sample of 20 students in a managerial accounting class are shown. (a) At &#945; = .05, is there a difference in the population median scores on the two exams? Make an Excel worksheet for yourWilcoxon signed-rank test calculations and check your work by using MegaStat or a similar computer package. (b) Perform a two-tailed parametric t test for paired two-sample means by using Excel or MegaStat. Do you get the same decision?

Student Exam 1 Exam 2 Student Exam 1 Exam 2
1 70 81 11 84 96
2 74 89 12 95 96
3 65 59 13 83 99
4 60 68 14 81 76
5 63 75 15 59 68
6 58 77 16 54 47
7 72 82 17 75 84
8 71 69 18 92 100
9 52 53 19 70 81
10 79 84 20 54 58