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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 0.011 gallon. You select a random sample of 45 cans, and the mean amount of paint per 1-gallon can is 0.995 gallon. Complete parts (a) through (e) below.
a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.05.)
Let u be the population mean. Determine the null hypothesis, H0, and the alternative hypothesis, H1.
What is the test statistic?
What is/are the critical value(s)? (Use a=0.05.)