Your manager 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 gallons. You select a random

sample of 50 cans, and the mean amount of paint per 1-gallon can is 0.995.

1. Is there evidence that the mean amount is different from 1.0 gallon (use ? = 0.01)?

a. State the null and alternative hypothesis

b. State the decision rule

c. Compute the Z-test s

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