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 0.011 gallon. You select a random sample of 45 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? (Use =0.05.)

Let be the population mean. Determine the null hypothesis, H0, and the alternative hypothesis, H1.

H0: = 1.0 correct

H1: 1.0 correct

Part 2

What is the test statistic?

ZSTAT= -3.05-correct

(Round to two decimal places as needed.)

What is/are the critical value(s)? (Use =0.05.)

-1.96,1.96-correct (Round to two decimal places as needed. Use a comma to separate answers as needed.)

What is the final conclusion?

Reject H0. There is sufficient evidence that the mean amount is different from 1.0 gallon.-correct

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

What is the p-value?

.002-correct

(Round to three decimal places as needed.)

Interpret the meaning of the p-value. Choose the correct answer below.

Reject H0. There is sufficient evidence that the mean amount is different from 1.0 gallon.-correct

c. Construct a 95% confidence interval estimate of the population mean amount of water per 1-gallon bottle.

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(Round to four decimal places as needed.)

FIND C PLEASE