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A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallor bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from water bottling company specifications that the standard deviation of the amount of water is 0.006 gallo You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon. Complete parts (a) through (e) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use α = 0.05.) Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁.

A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallor bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from water bottling company specifications that the standard deviation of the amount of water is 0.006 gallo You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon. Complete parts (a) through (e) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use α = 0.05.) Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁.

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 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 water bottling company specifications that the standard deviation of the amount of water is 0.006 gallor You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon. Complete parts (a) through (e) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use α = 0.05.) Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁.
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 water bottling company specifications that the standard deviation of the amount of water is 0.006 gallor You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon. Complete parts (a) through (e) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use α = 0.05.) Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁.
Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Hou H₁: H 1.0 1.0
Transcribed Image Text:Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Hou H₁: H 1.0 1.0
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Step 1

Solution-:

Given: μ0=1,σ=0.006,x¯=0.995,n=45,α=0.05

We want to find

(a) Is there evidence that the mean amount is different from 1.0 gallon? 

                               

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