A bottled water distributor wants to determine whether the mean amount of water contained in1-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 0.007 gallon. You select a random sample of 55 bottles, and the mean amount of water per1-gallon bottle is 0.995 gallon.

Is there evidence that the mean amount is different from 1.0 gallon? (Use =0.05.) Let be the population mean. Determine the nullhypothesis, H0, and the alternativehypothesis, H1.

H0 is <>= 1.0

H1 is <>= 1.0

What is the test statistic? _________ round to 2 decimal places

What is/are critical values ____________ (use a =.05) round to 2 decimal places

What is the finalconclusion?

A.

Failtoreject H0. There is sufficient evidence that the mean amount is different from 1.0 gallon.

B.

Reject H0. There is insufficient evidence that the mean amount is different from 1.0 gallon.

C.

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

D.

Failtoreject H0. There is insufficient evidence that the mean amount is different from 1.0 gallon.

What is the p -value?_____________ (round to 3 decimal places)

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

A.

Reject H0. There is insufficient evidence that the mean amount is different from 1.0 gallon.

B.

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

C.

Failtoreject H0. There is sufficient evidence that the mean amount is different from 1.0 gallon.

D.

Failtoreject H0. There is insufficient evidence that the mean amount is different from 1.0 gallon.

Construct a 95% confidence interval estimate of the population mean amount of water per1-gallon bottle

_____ <= u <= ______

Draw an appropriate conclusion. Choose the correct answer below.

A.

Failtoreject H0. The value 1.0 is within the confidence interval.

B.

Reject H0. The value 1.0 is within the confidence interval.

C.

Reject H0. The value 1.0 is outsideof the confidence interval.

D.

Failtoreject H0. The value 1.0 is outsideof the confidence interval.

Compare the results of(a) and(c). Are the results thesame?

No

Yes

Compare the results of parts (a) through(d) to those when the standard deviation is 0.020.

When the standard deviation is 0.020, ZSTAT=1.85, thep-value is 0.064, and the 95% confidence interval is 0.98971.0003.

Using the critical valueapproach, reject/do not reject H0. This result is same as/different from result in part (a) because ZSTAT has increased/decreased in absolute value.

Using the p-value approach reject/do not reject H0. This result is same as/different from result in part (b) because p-value has decreased/increased.

Using confidence interval approach reject/do not reject H0. This result is different/same as result in part (c) becasue the confidence interval has become narrower/wider.