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College Women/ Mothers Height Question

Are college women are taller on average than their mothers. The results (in inches) were as follows:

Pair             1  2   3   4  5
Daughter    66 64 64 69 66
Mother       66 62 65 66 63

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).

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