Stat 296 Fall 2007Hypothesis Tests for a Difference in Means (Review Examples)Example 1.Suppose that theSaskatchewan Department of Agriculturewants to develop plants that havean increased resistance to a particular disease.Two treatments are proposed and a random sample of 6plants produces the following data. (Higher numbers correspond to greater resistance.)Treatment #1:121419Treatment #2:4713Suppose thatμ1denotes the true mean of plants receiving treatment #1 and thatμ2denotes the true meanof plants receiving treatment #2. Consider testing the hypothesesH0:μ1=μ2vs.HA:μ1> μ2at theα= 0.15 significance level.(a)Based on the two-samplettest, is there significant evidence to rejectH0?(b)Based on the permutation test, is there significant evidence to rejectH0?(c)Based on the Wilcoxon rank-sum test, is there significant evidence to rejectH0?Suppose that further studies produce data as follows.
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Statistical tests, Type I and type II errors, Prime number