Independent random samples of 80 measurements were drawn from two quantitative populations, 1 and 2. Here is a summary of the sample data:

a. If your research objective is to show that µ1 is larger than µ2, state the alternative and the null hypotheses that you would choose for a statistical test.
b. Is the test in part a one- or two-tailed?
c. Calculate the test statistic that you would use for the test in part a. Based on your knowledge of the standard normal distribution, is this a likely or unlikely observation, assuming that H0 is true and the two population means are the same?
d. p-value approach: Find the p-value for the test. Test for a significant difference in the population means at the 1% significance level.
e. Critical value approach: Find the rejection region when α = .01. Do the data provide sufficient evidence to indicate a difference in the population means?

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Sample Size Sample Mean Sample Variance Sample 1 80 11.6 27.9 Sample 2 80 9.7 38.4