You have a random sample of 100 population members from each of two populations. You intend to use sample results to test the following hypotheses: H0: μ1 – μ2 < 0 Ha: μ1 – μ2 > 0
a. Suppose the sample results are 1 = 85 and 2 = 82. Compute the sample test statistic, z stat. Assume the population standard deviations are σ1 = 9 and σ2 = 11.
b. Using a significance level of .01, show the critical zscores, zc , for the test and state your decision rule. Report your decision.