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# A MANUFACTURER CLAIMS THAT THE MEAN AMOUNT OF JUICE IN ITS 16 OUNCE BOTTLES IS 16.1 OUNCES

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Author: Christine Farr
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http://theperfecthomework.com/a-manufacturer-claims-that-the-mean-amount-of-juice-in-its-16-ounce-bottles-is-16-1-ounces/

A manufacturer claims that the mean amount of juice in its 16 ounce bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The mean volume of juice for a random sample of 70 bottles was 15.94 ounces. Do the data provide sufficient evidence to conclude that the mean amount of juice for all 16-ounce bottles, µ, is less than 16.1 ounces? Perform the appropriate hypothesis test using a significance level of 0.10. Assume that s = 0.9 ounces.

A.
The z of - 1.49 provides sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.

B.
The z of - 1.49 does not provide sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.

C.
The z of - 0.1778 does not provide sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.

D.
The z of - 0.1778 provides sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.

Question 2 of 40

2.5 Points

In 1990, the average duration of long-distance telephone calls originating in one town was 9.4 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 9.4 minutes. The mean duration for a random sample of 50 calls originating in the town was 8.6 minutes. Does the data provide sufficient evidence to conclude that the mean call duration, µ, is different from the 1990 mean of 9.4 minutes? Perform the appropriate hypothesis test using a significance level of 0.01. Assume that s = 4.8 minutes.

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