In problem 6–26, give a 95% confidence interval for the variance of the caloric content of all 3-ounce cuts of top loin steak.

In problem For advertising purposes, the Beef Industry Council needs to estimate the average caloric content of 3-ounce top loin steak cuts. A random sample of 400 pieces gives a sample mean of 212 calories and a sample standard deviation of 38 calories. Give a 95% confidence interval for the average caloric content of a 3-ounce cut of top loin steak. Also give a 98% confidence interval for the average caloric content of a cut.