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 0.992 gallon.   a. Is there evidence that the mean amount is different from 1.0 ​gallon? (Use α=0.01​.)   Let μ be the population mean. Determine the null​ hypothesis, H0​, and the alternative​ hypothesis, H1.   H0​: μ ____ H1​: μ ____   What is the test​ statistic?   ZSTAT= _________ ​(Round to two decimal places as​ needed.)   What​ is/are the critical​ value(s)? (Use α=0.01​.)   ​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)   What is the final​ conclusion?   A. Fail to reject H0. There is not sufficient evidence that the mean amount is different from 1.0 gallon.   B. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon.   C. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon.   D. Reject H0. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 0.992 gallon.

 

a. Is there evidence that the mean amount is different from
1.0 ​gallon? (Use α=0.01​.)
 
Let μ be the population mean. Determine the null​ hypothesis,
H0​, and the alternative​ hypothesis, H1.
 
H0​: μ ____
H1​: μ ____
 
What is the test​ statistic?
 
ZSTAT= _________
​(Round to two decimal places as​ needed.)
 
What​ is/are the critical​ value(s)? (Use α=0.01​.)
 
​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)
 
What is the final​ conclusion?
 
A. Fail to reject H0. There is not sufficient evidence that the mean amount is different from 1.0 gallon.
 
B. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon.
 
C. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon.
 
D. Reject H0. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon.
 
 
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