If no information is available about the population variances, one should choose Case ___ when testing the difference between means. Multiple choice question. 1 3 2
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Consider the following table of summary statistics. Group Sample size Sample mean Sample standard deviation One 7 76.83 3.30 Two 16 66.80 14.00 Assume the underlying distributions are normal and the random samples were obtained independently. a. Suppose the population variances are assumed equal. Conduct a hypothesis test of H0: μ1 − μ2 = 0 versus Ha: μ1 − μ2 ≠ 0. Use α = 0.05. b. Suppose the population variances are assumed unequal. Conduct a hypothesis test of H0: μ1 − μ2 = 0 versus Ha: μ1 − μ2 ≠ 0. Use α = 0.05. c. Which of the two tests do you think is more appropriate here? Justify your answer.
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