# Question: You have a random sample of 10 Population 1 members

You have a random sample of 10 Population 1 members and a sample of 13 Population 2 members, and you want to set up a test using the following hypotheses: H0: Î¼1 â€“ Î¼2 < 0 (The mean of Population 1 is no greater than the mean of Population 2.) Ha: Î¼1 â€“ Î¼2 > 0 (The mean of Population 1 is greater than the mean of Population 2.) Assume that the two population distributions are normal and that the population standard deviations are equal.

a. Using a significance level of .01, find the critical tscore for the test and state your decision rule.

b. Suppose the sample results are x1 = 98 and x2 = 90. Compute the appropriate test statistic, t stat , and report your decision. The sample standard deviations are s1 = 6.2 and s2 = 5.6.

c. Use a statistical calculator or a suitable statistical software package to find the pvalue for your sample result. Use the pvalue to make your decision and report the result.

a. Using a significance level of .01, find the critical tscore for the test and state your decision rule.

b. Suppose the sample results are x1 = 98 and x2 = 90. Compute the appropriate test statistic, t stat , and report your decision. The sample standard deviations are s1 = 6.2 and s2 = 5.6.

c. Use a statistical calculator or a suitable statistical software package to find the pvalue for your sample result. Use the pvalue to make your decision and report the result.

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