# Question: Random samples of 30 professors of ethics and 30 professors

Random samples of 30 professors of ethics and 30 professors in other disciplines (not ethics) were asked how many days it had been since they contacted their mothers; this included phone calls and face-to-face meetings. Professors whose mothers were not living were not included. The resulting data are shown.

a. Describe the shapes of the distributions of the samples.

b. Find and compare the sample means.

c. Find and compare the sample medians.

d. Perform a two-sample t-test to determine whether the population means are different at the 0.05 significance level. Assume that the sample sizes are large enough so that the approximate p-value will be good.

e. Perform a Mann-Whitney test to determine whether the medians are significantly different at the 0.05 level.

a. Describe the shapes of the distributions of the samples.

b. Find and compare the sample means.

c. Find and compare the sample medians.

d. Perform a two-sample t-test to determine whether the population means are different at the 0.05 significance level. Assume that the sample sizes are large enough so that the approximate p-value will be good.

e. Perform a Mann-Whitney test to determine whether the medians are significantly different at the 0.05 level.

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