STAT 202 Midterm: STAT 202 Drexel Exam2SecALongSolutions
15 Feb 2019
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A home improvement retailer purchases steel fence posts from two different suppliers, and would like to know if there are differences in the strengths of the posts. Let 1 represent the mean breaking strength for the population of posts purchased from supplier #1, and let 2 represent the mean breaking strength for supplier #2. We wish to test h0: 1 = 2 vs. h1: 1 2. Assume that the variance in breaking strengths is the same both suppliers, and that breaking strengths follow normal distributions. Random samples of sizes n1 = n2 = 5 are taken from each population, and each post is tested for breaking strength. The following results are obtained (all values are in pounds). This scenario and data applies to the following four questions. X 1 = 284 s1 = 18 x 2 = 311 s2 = 26: at the = 0. 01 level of significance, this test would reject the null hypothesis if:
