Question: Shanks Inc., a nationwide advertising firm, wants to know whether the size of an advertisement and the color of the advertisement make a difference in

Shank’s Inc., a nationwide advertising firm, wants to know whether the size of an advertisement and the color of the advertisement make a difference in the response of magazine readers. A random sample of readers is shown ads of four different colors and three different sizes. Each reader is asked to give the particular combination of size and color a rating between 1 and 10. Assume that the ratings follow the normal distribution. The rating for each combination is shown in the following table (for example, the rating for a small red ad is 2).

Color of Ad Size of Ad Red Blue Orange Green Small 3 8 Medium 6. 7 Large 8 8 00 357 236D

Is there a difference in the effectiveness of an advertisement by color and by size?

a. What are the null and alternate hypotheses?

b. What are the test statistics?

c. What are the p-values?

d. Using a .05 significance level, what is your decision regarding the null hypotheses?

e. Interpret the result.

Color of Ad Size of Ad Red Blue Orange Green Small 3 8 Medium 6. 7 Large 8 8 00 357 236D

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