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 0.03 gallon. You select a random sample of 50 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon. Complete parts (a) through (d) below.

Question content area bottom Part 1

a. Is there evidence that the mean amount is different from

1.0 gallon? (Use =0.05.) Let be the population mean. Determine the null hypothesis, H0, and the alternative hypothesis, H1.

What is the test statistic (round to the two decimal place)

What is/are the critical value? (round to the two decimal place.)

B. Compute the p-value and interpret its meaning.

C. Construct a 90% confidence interval estimate of the population mean amount of water per 1-gallon bottle.

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