Dr. Mihaela Sabou wants to estimate the average length of a hospital stay (number of days) for patients with a certain infectious disease. From a random sample of 25 patient records, she finds that the average number of days in the hospital for such patients is 6 days, with a standard deviation of 1.8 days.
a. Find the reliability factor for a 95% confidence interval estimate of the population mean length of stay.
b. Find the LCL for a 99% confidence interval estimate of the population mean length of stay.