Question: 27 The manager of a paint supply store wants to determine whether the amount of paint contained in 1 galleon cans purchased form a nationally known manufacturer actually averages 1 gallon. It is known that the manufacturer’s specifications that the standard deviation of the amount of paint is equal to 0.02 gallon. A random sample of 50 cans is selected, and the mean amount of paint per 1 gallon can is found to be 0.995.

a) State the null and alternate hypothesis

b) Is there evidence that the mean amount is different from 1 gallon (use significance level = 0.01) and why?

c) Compute the p-value and interpret its meaning.