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d. Construct a 90% confidence interval estimate. How does this change your answer to part (b)? (Round to five decimal places as needed.)

d. Construct a 90% confidence interval estimate. How does this change your answer to part (b)? (Round to five decimal places as needed.)

MATLAB: An Introduction with Applications
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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A bottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to 0.04 gallon. A random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.959 gallon Complete parts (a) through (d). a. Construct a 95% confidence interval estimate for the population mean amount of water included in a 1-gallon bottle. 0.94791 sus 0.97009 (Round to five decimal places as needed.) b. On the basis of these results, do you think that the distributor has a right to complain to the water bottling company? Why? Yes, because a 1-gallon bottle containing exactly 1-gallon of water lies outside the 95% confidence interval. c. Must you assume that the population amount of water per bottle is normally distributed here? Explain. A. No, because the Central Limit Theorem almost always ensures that X is normally distributed when n is large. In this case, the value of n is large B. Yes, because the Central Limit Theorem almost always ensures that X is normally distributed when n is large. In this case, the value of n is smal OC. Yes, since nothing is known about the distribution of the population, it must be assumed that the population is normally distributed OD. No, because the Central Limit Theorem almost always ensures that X is normally distributed when n is small, In this case, the value of n is small d. Construct a 90 % confidence interval estimate. How does this change your answer to part (b)? (Round to five detimal places as needed.)
Transcribed Image Text:A bottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to 0.04 gallon. A random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.959 gallon Complete parts (a) through (d). a. Construct a 95% confidence interval estimate for the population mean amount of water included in a 1-gallon bottle. 0.94791 sus 0.97009 (Round to five decimal places as needed.) b. On the basis of these results, do you think that the distributor has a right to complain to the water bottling company? Why? Yes, because a 1-gallon bottle containing exactly 1-gallon of water lies outside the 95% confidence interval. c. Must you assume that the population amount of water per bottle is normally distributed here? Explain. A. No, because the Central Limit Theorem almost always ensures that X is normally distributed when n is large. In this case, the value of n is large B. Yes, because the Central Limit Theorem almost always ensures that X is normally distributed when n is large. In this case, the value of n is smal OC. Yes, since nothing is known about the distribution of the population, it must be assumed that the population is normally distributed OD. No, because the Central Limit Theorem almost always ensures that X is normally distributed when n is small, In this case, the value of n is small d. Construct a 90 % confidence interval estimate. How does this change your answer to part (b)? (Round to five detimal places as needed.)
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