Are students' mothers younger than their fathers in general, and if so, by how much?

a. Use software to test if the mean of differences, mother's age minus father's age, is negative for the larger population of students; first report the mean of sampled differences.

b. Report the standardized sample mean.

c. Report the P-value.

d. Do the data support the claim that overall mothers are younger?

e. Use software to obtain a 95% confidence interval for the mean of differences, mother's age minus father's age.

f. Tell whether each of these is a plausible value for the mean of all differences (in years): -3, -2, -1, 0, 1, 2, 3.

g. This exercise considered a quantitative variable, age, compared for two genders of parent (mother or father). What types of variables would be involved if we were interested in the relationship between mothers' and fathers' ages, so that we could predict a student's mother's age, given his or her father's age?