The amount of water consumed each week by Bronx residences is normally distributed. The population mean of water consumption is 120.3 gallons with astandard deviation of 10.0 gallons. Test the claim at the 0.10 significance level that the average amount of water consumed is not 125 gallons with a sample size of100 residences.What are the hypotheses?Null: H125||Alternate: U = 125Null: H125Alternate: µ < 125Null: U = 125%3DAlternate: H > 125Null: µ = 125Alternate: H + 125

Given x̄=120.3, σ=10, ɑ=0.10, μ=125, n=100

Answered: The amount of water consumed each week…

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 pipes manufacturer makes pipes with a length that is supposed to be 16 inches. A quality control technician sampled 29 pipes and found that the sample mean length was 16.05 inches and the sample standard deviation was 0.14 inches. The technician claims that the mean pipe length is not 16 inches. What type of hypothesis test should be performed? What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist at the α=0.01 significance level to support the technician's claim?
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) An automobile manufacturer advertises that one of its models of cars achieves 32 miles per gallon forhighway driving. A consumer advocacy group claims that the advertisement is incorrect and selects arandom sample of 28 nonprofessional drivers and each one drives the car from West Windsor, NJ toWashington, DC. The mean miles per gallon was determined to be 30.76 mpg with a standard deviationof 2.32. Assuming fuel efficiency is normally distributed under these circumstances, test the advocacy’sclaim at  = 0.10. (Show all steps.)
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