The Manager of a Grocery Store Wants to Determine Whether $\alpha$

Multiple Choice

The manager of a grocery store wants to determine whether the amount of water contained in 1 gallon bottle purchased from a nationally known manufacturer actually average 1 gallon.It is known from the manufacturer's specifications that the standard deviation of the amount of water is equal to 0.02 gallon.A random sample of 32 bottles is selected,and the mean amount of water per 1 gallon can is found to be 0.995 gallon.Calculate a confidence interval to test the hypotheses at $\alpha$ = .001.

A) [0.987 1.003]
B) [0.986 1.004]
C) [0.984 1.006]
D) [0.983 1.007]
E) [0.988 1.002]