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# inclass_oct4 - Stat 296 Fall 2007 Hypothesis Tests for a...

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Stat 296 Fall 2007 Hypothesis Tests for a Difference in Means (Review Examples) Example 1. Suppose that the Saskatchewan Department of Agriculture wants to develop plants that have an increased resistance to a particular disease. Two treatments are proposed and a random sample of 6 plants produces the following data. (Higher numbers correspond to greater resistance.) Treatment #1: 12 14 19 Treatment #2: 4 7 13 Suppose that μ 1 denotes the true mean of plants receiving treatment #1 and that μ 2 denotes the true mean of plants receiving treatment #2. Consider testing the hypotheses H 0 : μ 1 = μ 2 vs. H A : μ 1 > μ 2 at the α = 0 . 15 significance level. (a) Based on the two-sample t test, is there significant evidence to reject H 0 ? (b) Based on the permutation test, is there significant evidence to reject H 0 ? (c) Based on the Wilcoxon rank-sum test, is there significant evidence to reject H 0 ? Suppose that further studies produce data as follows.
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