2) A consumer products company relies on direct mail marketing pi.pdf

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2) A consumer products company relies on direct mail marketing pieces as a major component of its advertising campaigns. The company has three different designs for a new brochure and wants to evaluate their effectiveness, as there are substantial differences in costs between the three designs. The company decides to test the three designs by mailing 5,000 samples of each to potential customers in four different regions of the country. Since there are known regional differences in the customer base, regions are considered as blocks. The number of responses to each mailing is shown below. a) Do the brochure designs affect the average number of responses? Use a significance level of 5%. i) State the hypotheses, ii) Make conclusions. b) Calculate Fisher's LSD method to compare the average number of responses for the three brochure designs. c) Calculate Tukey's method to compare the average number of responses for the three brochure designs. d) Calculate Dunnett's test to compare the average number of responses for the three brochure designs. e) Analyze the residuals from this experiment. Do the data satisfy the assumptions of the model? If not, perform an appropriate data transformation for these data. f) Do the Friedman's test, state the appropriate hypothesis and make conclusions. i) State the hypotheses, ii) What is the value of the test statistic? iii) What is the p-value? iv) What is the decision? v) Make conclusions..

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