You have a random sample of 100 population members from

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 x̅1 = 85 and x̅2 = 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 z-scores, zc , for the test and state your decision rule. Report your decision.

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