The North of Superior Brewing Company plans to launch a major media campaign. Three advertising companies prepared trial commercials in an attempt to win a $2 million contract. The commercials were tested on randomly selected consumers, whose reactions were measured; the results are summarized in the accompanying table. (Higher scores indicate more positive reactions to the commercial.)

a. Construct a box plot for each of the three samples. Use the same scale so that the box plots can be compared. Do the box plots reveal any notable differences?
b. Find the mean and standard deviation for each of the three sets of sample data.
c. Use the methods of Section 8-5 to test the claim that the population of Aurora scores has a mean that is equal to the population mean for Solomon &c Campbell scores. Use a 0.05 significance level.
d. For each of the three samples, construct a 95% confidence interval estimate of the population mean fi. Do the results suggest any notable differences?
e. At the 0.05 significance level, test the claim that the three populations have the same mean reaction score. If you were responsible for advertising at this brewery, which company would you select on the basis of these results? Why?

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Aurora Advertising Co. Solomon & Campbell Advertising Gagné and Turner Advertising 52 68 75 40 77 63 55 72 69 73 82 59 66 84 75 70 42 73 69 53 57 61 73 74