8.9 The manager of a paint supply store wants to estimate the amount of paint contained in 1-gallon cans purchased from

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8 9 The Manager Of A Paint Supply Store Wants To Estimate The Amount Of Paint Contained In 1 Gallon Cans Purchased From 1 (56.93 KiB) Viewed 79 times

8.9 The manager of a paint supply store wants to estimate the amount of paint contained in 1-gallon cans purchased from a local paint manufacturer. The manufacturer's specifications state that the standard deviation of the amount of paint is 0.03 gallon. A random sample of 50 cans is selected, and the sample mean amount of paint per 1-gallon can is 0.982 gallon. a. Construct a 99% confidence interval estimate for the population mean amount of paint in a 1-gallon can. b. Based on these results, can the manager complain about the amount of paint in each can? Explain. c. Must you assume that the population amount of paint per can is normally distributed here? Explain. d. Construct a 90% confidence interval estimate. How does this change your answer to (b)?