A large company that produces a "fat-burner" pill claims an average loss of 20 pounds in the first month. A consumer advocacy group believes that this claim is actually just "hype" intended to sell more of the compound. The advocacy group would like to obtain statistical evidence about this issue and takes a random sample of 100 consumers who responded that they had purchased the pill but didn't know what the survey was about. They find that these 100 people lost an average of 18 pounds. Let the standard deviation of the population be 7.5 pounds. Clearly state the hypotheses, obtain the test statistic and p-value and state the decision and conclusion. Show all your work.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A large company that produces a "fat-burner" pill claims an average loss of 20
pounds in the first month. A consumer advocacy group believes that this claim is
actually just "hype" intended to sell more of the compound. The advocacy group
would like to obtain statistical evidence about this issue and takes a random sample
of 100 consumers who responded that they had purchased the pill but didn't know
what the survey was about. They find that these 100 people lost an average of 18
pounds. Let the standard deviation of the population be 7.5 pounds. Clearly state
the hypotheses, obtain the test statistic and p-value and state the decision and
conclusion. Show all your work.
Transcribed Image Text:A large company that produces a "fat-burner" pill claims an average loss of 20 pounds in the first month. A consumer advocacy group believes that this claim is actually just "hype" intended to sell more of the compound. The advocacy group would like to obtain statistical evidence about this issue and takes a random sample of 100 consumers who responded that they had purchased the pill but didn't know what the survey was about. They find that these 100 people lost an average of 18 pounds. Let the standard deviation of the population be 7.5 pounds. Clearly state the hypotheses, obtain the test statistic and p-value and state the decision and conclusion. Show all your work.
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