Chapter 11, Problem 11.46E

A random sample of five college women was asked for their own heights and their mothers’ heights. The researchers wanted to know whether college women are taller on average than their mothers. The results (in inches) follow:

a. Define the parameter of interest in this situation.

b. Find a 95% confidence interval for the parameter you defined in part (a).

c. Using the interval in part (b), write a sentence or two about the relationship between women students’ heights and their mothers’ heights for the population. Your explanation should be written to be understood by someone with no training in statistics.

d. Explain two different things that the researchers could have done to obtain a narrower interval than the one you found in part (b).