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 45 bottles, and the mean amount of water per 1-gallon bottle is 0.994 gallon. Complete parts (a) through (d) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.05.) Let u be the population mean. Determine the null hypothesis, H, and the alternative hypothesis, H, Ho: H = 1 H # 1 What is the test statistic? ZSTAT = -1.34 (Round to two decimal places as needed.) What is/are the critical value(s)? (Use a= 0.05.) 1.96,- 1.96 (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Fail to reject Ho. There is not sufficient evidence that the mean amount is different from 1.0 gallon. O B. Reject He There is not sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. O D. Fail to reject He. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon
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 45 bottles, and the mean amount of water per 1-gallon bottle is 0.994 gallon. Complete parts (a) through (d) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.05.) Let u be the population mean. Determine the null hypothesis, H, and the alternative hypothesis, H, Ho: H = 1 H # 1 What is the test statistic? ZSTAT = -1.34 (Round to two decimal places as needed.) What is/are the critical value(s)? (Use a= 0.05.) 1.96,- 1.96 (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Fail to reject Ho. There is not sufficient evidence that the mean amount is different from 1.0 gallon. O B. Reject He There is not sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. O D. Fail to reject He. 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
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 45 bottles, and the mean amount of water per 1-gallon bottle is 0.994 gallon. Complete parts (a) through (d) below.
a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.05.)
Let u be the population mean. Determine the null hypothesis, H,, and the alternative hypothesis, H,
Ho:H = 1
H:H # 1
What is the test statistic?
ZSTAT = -1.34 (Round to two decimal places as needed.)
What is/are the critical value(s)? (Use a= 0.05.)
1.96,-1.96
(Round to two decimal places as needed. Use
comma to separate answers as needed.)
What is the final conclusion?
O A. Fail to reject Ho. There is not sufficient evidence that the mean amount is different from 1.0 gallon.
O B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon.
O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon.
O D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon
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