The manager of a paint supply store wants to estimate the actual amount of paint contained in 11-gallon cans purchased from a nationally known manufacturer. themanufacturer's specifications state that the standard deviation of the amount of paint is equal to 0.01 gallon. a random sample of 50 cans is selected, and the sample mean amount of paint per 11-gallon can is 0.982 gallon.1. construct a 99%confidence interval estimate for the population mean amount of paint included in a 1-gallon can.2. on the basis of theseresults, do you think the manager has a right to complain to themanufacturer? why? 3. must you assume that the population amount of paint per can is normally distributed here? explain.4.construct a 90& confidence interval estimate. how does this change your answer to part (b)?