8.9 The manager of a paint supply store wants to estimate the actual amount of paint contained in 1-gallon cans pur- cha

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8 9 The Manager Of A Paint Supply Store Wants To Estimate The Actual Amount Of Paint Contained In 1 Gallon Cans Pur Cha 1 (610.26 KiB) Viewed 10 times

8.9 The manager of a paint supply store wants to estimate the actual amount of paint contained in 1-gallon cans pur- chased from a nationally known manufacturer. The manu- facturer's specifications state that the standard deviation of the amount of paint is equal to 0.02 gallon. A random sam- ple of 50 cans is selected, and the sample mean amount of paint per 1-gallon can is 0.995 gallon. a. Construct a 99% confidence interval estimate for the рор- ulation mean amount of paint included in a 1-gallon can. b. On the basis of these results, do you think that the man- ager 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)?