Question: Suppose that in Problem 9.16, the standard deviation is 0.012 gallon. a. Repeat (a) through (d) of Problem 9.16, assuming a standard deviation of 0.012

Suppose that in Problem 9.16, the standard deviation is 0.012 gallon.

a. Repeat (a) through (d) of Problem 9.16, assuming a standard deviation of 0.012 gallon.

Data From Problem 9.16:

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 50 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon.

a. Is there evidence that the mean amount is different from 1.0 gallon?

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

c. Construct a 99% confidence interval estimate of the population mean amount of water per bottle.

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

b. Compare the results of (a) to those of Problem 9.16.

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