Problem 1. A company that produces bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Assume that the population standard deviation is 10 milligrams.

a) Construct a 95% confidence interval estimate for the mean sodium level.

b) Construct a 99% confidence interval estimate for the mean sodium level.