The National Health Statistics Reports dated Oct. 22, 2008, included the following information on the heights (in.) for non-Hispanic white females:

a. Calculate and interpret a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women.
b. Let µ1 denote the population mean height for those aged 20-39 and µ2 denote the population mean height for those aged 60 and older. Interpret the hypotheses H0: µ1 - µ2 = 1 and Ha: m1 - µ2> 1, and then carry out a test of these hypotheses at significance level .001.
c. Based on the P-value calculated in (b) would you reject the null hypothesis at any reasonable significance level? Explain your reasoning.
d. What hypotheses would be appropriate if µ1 referred to the older age group, µ2 to the younger age group, and you wanted to see if there was compelling evidence for concluding that the population mean height for younger women exceeded that for older women by more than 1 in.?

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Sample Sample Std. Error Age Mean Mean Size 64.9 63.1 .09 20-39 60 and older 866 934