The manager of a paint supply store wants to determine whether the mean amount of paint contained in 1-gallon cans purchased from a nationally known manufacturer is actually 1 gallon. You know from the manufacturer's specifications that the standard deviation of the amount of paint is0.012 gallon. You select a random sample of 50 cans, and the mean amount of paint per 1-gallon can is 0.995 gallon.

1. Is there evidence that the mean amount is different from 1.0 gallon? (Use )
2. Compute the p-value and interpret its meaning
3. Construct a 99% confidence interval estimate of the population mean amount of paint
4. Compare the results of (a) and (c). What conclusions do you reach?