The manager of a paint supply store wants to estimate the actual amount of paint contained in gallon can s purchased from a nationally know manufacturer. The manufacturer specification state that the SD of the amount of paint is equal to 0.02gallon. A ran

The manager of a paint supply store wants to estimate the actual amount of paint contained in gallon can s purchased from a nationally know manufacturer. The manufacturer specification state that the SD of the amount of paint is equal to 0.02gallon. A random sample of 50 cans  is selected and the sample mean amt of paint per 1 –gallon can is 0.995 gallon

A)Construct a 99% confidence interval estimate for the population men amount of paint included in  a 1 gallon can.

B)On the basis of these result do you think that the manager has a right to complain to the manufacturer? why?

C)Must you assume that the population amount of paint per can is normally distributed here? explain.

D)Construct a 95%  confidence interval estimate. How does this change your answer to b?