Q1) According to Center for Work-Life Policy, a survey of 500 highly educated women who left careers for family reasons found 66% wanted to return to work. Create a 95% confidence interval for proportion of highly educated women who left careers for family reasons and who wish to return to work.
Q2) Commissioner of MLB baseball would like to evaluate diameter of baseballs which are used in league play and now in World Series. Manufacturer has specified that baseballs are supposed to have population mean diameter of 7.30 inches and standard deviation equal to .04 inches. Random sample of 25 baseballs chosen from a shipment indicates a sample average of 7.31 inches. Construct a 95% confidence interval estimate of the true average diameter of baseballs in this shipment. Does population of baseballs need to have diameter that is normally distributed here?