2. The population of lengths of aluminum-coated steel sheets is normally distributed with a mean

2. The population of lengths of aluminum-coated steel sheets is normally distributed with a mean

of 30.0 inches and a standard deviation of 0.9 inches. A sample of 36 metal sheets is randomly selected from a batch. What is the probability that the average length of a sheet is between 29.70 and 30.24 inches long?