Question

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 is 0.02 gallon. You select a random sample of 50 cans, and the mean amount of paint per 1-galllon can is 0.995 gallon.

a. At the .05 level of significance, is there evidence that the mean amount is different from 1.0 gallon? Show all steps! Draw the normal curve and insert all information given.

b. Compute the p-value and interpret its meaning. Show all steps!

c. Construct a 95% confidence interval estimate of the population mean amount of paint. Show all steps!

d. Compare the results of (a) and (c). What conclusions do you reach? Show all steps!

Answer 1