Two Population Means with Known Standard Deviations · Exercise 16

One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement “I’m pleased with the way we divide the responsibilities for childcare.” The ratings went from one (strongly agree) to five (strongly disagree). contains ten of the paired responses for husbands and wives. Conduct a hypothesis test to see if the mean difference in the husband’s versus the wife’s satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife).

$$\begin{array}{ccccccccccc}\text{Wife’s score}& \text{2}& \text{2}& \text{3}& \text{3}& \text{4}& \text{2}& \text{1}& \text{1}& \text{2}& \text{4}\\ \text{Husband’s score}& \text{2}& \text{2}& \text{1}& \text{3}& \text{2}& \text{1}& \text{1}& \text{1}& \text{2}& \text{4}\end{array}$$

This is an open-ended exercise: its source gives no single answer.

OpenStax, Introductory Business Statistics 2e · §10.5 Two Population Means with Known Standard Deviations · Exercise 16