A diet soda manufacturer wants to compare the effects on sales of three can colors—red, yellow, and blue. Four regions are selected for the test, and three stores are randomly chosen from each region, each to display one color of cans. The accompanying table shows sales (in tens of cans) at the end of the experimental period. Can Color Region Red Yellow  Blue East South Midwest West 47 56 49 41 52 54 63 44 60 52 55 48 a. Prepare the appropriate analysis of variance table.b. Test the null hypothesis that population mean sales are the same for each can color.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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A diet soda manufacturer wants to compare the effects on sales of three can colors—red, yellow, and blue. Four regions are selected for the test, and three stores are randomly chosen from each region, each to display one color of cans. The accompanying table shows sales (in tens of cans) at the end of the experimental period.

Can Color
Region Red Yellow  Blue

East

South

Midwest

West

47

56

49

41

52

54

63

44

60

52

55

48

a. Prepare the appropriate analysis of variance table.
b. Test the null hypothesis that population mean sales are the same for each can color.

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