Answered: manufacturer of kitchen water filters…

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 manufacturer of kitchen water filters claims that their new model of water filter will, on average, treat more than 500 gallons of water before the water quality falls below acceptable levels. Consumer Reports wants to confirm this claim and selects a simple random sample of 60 filters for testing. Water was passed through each filter until the water quality dropped below acceptable levels and the volume of water measured. This produced a sample average of 575 gallons, and a sample standard deviation of 60 gallons. Construct a null and alternate hypothesis that Consumer Reports should use to confirm the manufacturer’s claim. Based on the sample data, what can they conclude? Use a 0.05 level of significance. Would your answer change if you used a 1% level of significance?

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Follow-up Question

When i run the calculation to find the test statistic value (t), I do not get the same t-value answer. I get a value of 9.6825 and not 3.227. Can you explain how you got the 3.227

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