601hw08sol - Partial Solutions to Assignment 8 Note These...

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Partial Solutions to Assignment 8 Note: These are partial solutions meant to give most of the final results but they do not include those with answers in the book. Your solutions should involve more detail and/or discussion. 2. (a) t = 1.19 with 28 df . p -value = 0.24, H 0 : 1 = 2 is not rejected. (b) MS Model = 140.833, MS Error = 99.448. (c) F = 1.42 with 1,28 df . 3. (a) Y ij = i + ij = + i + ij , where the ij ’s are independent normal(0, 2 ) random variables. (b) F = 60.63 with 2,27 df, p -value < .001. Some means differ. (c) We conclude that all three (true) means differ. In particular, F.S. has the highest mean (estimated to be 44.00) while F.C.C. has the lowest (estimated to be 28.18). (e) Bartlett’s 2 = 22.8 with 2 df and p -value < .001, so the equal variances assumption is rejected. However, Welch’s test still rejects the hypothesis that the means are the same. (f) The Kruskal-Wallis test statistic is 2 = 25.8 with 2 df and p -value < .001, so we conclude the populations differ.
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