Answered: A bottled water distributor wants to…

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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Question

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.

b. Compute the p-value and interpret its meaning.

What is the p-value?

(Round to three decimal places as needed.)

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

A. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that the mean amount is equal to 1 gallon.

B. Reject H0. There is sufficient evidence to warrant rejection of the claim that the mean amount is equal to 1 gallon.

C. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the mean amount is equal to 1 gallon.

D. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the mean amount is equal to 1 gallon.

c. Construct a 99% confidence interval estimate of the population mean amount of water per 1-gallon bottle.

_____≤μ≤_______

(Round to four decimal places as needed.)

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