QUESTION 1: Your company prepares and distributes frozen foods. The package claims a net weight of 24.5 ounces. A random sample of today's production was weighed, and the results were summarized as follows:average = 24.41 ounces, standard deviation = 0.11 ounce, sample size = 5 packages. Find the two-sided 95% confidence interval for the mean weight you would have found had you weighed all packages produced today.

QUESTION 2: Your hospital is negotiating with medical insuarance providers, who would like to reduce the amount they pay as reimbursement for the hospital stays. For a particular procedure, they would like to reduce payment by $300 and have patients go home one day earlier. To see what effect this would have on hospital costs, a random sample of 50 patients who were recently admitted for this procedure was analyzed. Had they left one day earlier, the average savings would have been $322.44, and the standard deviation was found to be $21.71. Find the two-sided 95% confidence interval for the mean savings, per patient, for the larger population of patients.