Independent random samples of 80 measurementswere drawn
Chapter 9, Problem 18(choose chapter or problem)
Independent random samples of 80 measurementswere drawn from two quantitative populations,1 and 2. Here is a summary of the sample data:Sample 1 Sample 2Sample Size 80 80Sample Mean 11.6 9.7Sample Variance 27.9 38.4 a. If your research objective is to show that m1 islarger than m2, state the alternative and the nullhypotheses that you would choose for a statisticaltest.b. Is the test in part a one- or two-tailed?c. Calculate the test statistic that you would use forthe test in part a. Based on your knowledge of thestandard normal distribution, is this a likely or unlikely observation, assuming that H0 is true andthe two population means are the same?d. p-value approach: Find the p-value for the test.Test for a significant difference in the populationmeans at the 1% significance level.e. Critical value approach: Find the rejection regionwhen a .01. Do the data provide sufficient evidenceto indicate a difference in the populationmeans?
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