The national health statistics reports dated oct. 22, 2008, included the following information on the heights (in.) for non-hispanic white females: age sample size sample mean std. error mean 20–39 866 64.9 0.09 60 and older 934 63.1 0.11 (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 2039 and µ2 denote the population mean height for those aged 60 and older. interpret the hypotheses h0 : µ1 − µ2 = 1 and ha : µ1 − µ2 > 1, and then carry out a test of these hypotheses at significance level 0.05 using the confidence interval in (a).