A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.02 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.992 gallon. Complete parts (a) through (d) below.

What is the test statistic?

What are the critical values?

What is the final conclusion?

What is the P value? Interpret the meaning of the p value

Construct a 99% confidence interval estimate of the population mean amount of water per 1-gallon bottle

Compare the results of (a) and (c). What conclusions do you reach?