Two Population Means with Known Standard Deviations · Exercise 21

DIRECTIONS: For each of the word problems, use a solution sheet to do the hypothesis test. The solution sheet is found in. Please feel free to make copies of the solution sheets. For the online version of the book, it is suggested that you copy the.doc or the.pdf files.

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 Statistics 2e · §10.2 Two Population Means with Known Standard Deviations · Exercise 21