The following table lists the number of pages in four differ

The following table lists the number of pages in four different types of magazines. (a) Using a significance level of 5%, test the hypothesis that the four magazine types have the same average length. (b)Eliminate one magazine type that you now feel has an average length different than the others. Redo the hypothesis test, testing that the remaining three averages are statistically the same. Use a new solution sheet. Based on this test, are the average lengths for the remaining three magazines statistically the same? (c)Which two magazine types do you think have the same variance in length? (d)Which two magazine types do you think have different variances in length?

Solution

(a) Using a significance level of 5%, test the hypothesis that the four magazine types have the same average length.

a. Ho: µd = µn = µh = µc

b. At least one average is different

c. df(n) = 3; df(d) = 16

e. 8.69 f. 0.0012

h. Decision: Reject null; Conclusion: At least one average is different

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