According to the CDC, the average weight of men in 1990 was 181 pounds. Consider a claim that the average weight of men increased by 2014. (https://abcnews.go.com/Health/average-weight-american-men-15-pounds-20-years/story?id=41100782) Use these hypotheses: H0:H0: μμ = 181 (Population mean weight of men in 2014 is same as that in 1990) Ha:Ha: μμ > 181 (Population mean weight of men in 2014 has increased) Based on sample data, you fail to reject the null hypothesis and compared to the unknown truth if your decision was wrong, then you would have made: Type I Error because H0H0 was incorrectly rejected. Type II Error because H0H0 was incorrectly not rejected. Based on sample data, you fail to reject the null hypothesis. Then your conclusion would be: The sample data support the claim that the average weight of men increased. There is not sufficient sample evidence to support the claim that the average weight of men increased.

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Author:Amos Gilat
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According to the CDC, the average weight of men in 1990 was 181 pounds.

Consider a claim that the average weight of men increased by 2014.

(https://abcnews.go.com/Health/average-weight-american-men-15-pounds-20-years/story?id=41100782)

Use these hypotheses:

H0:H0: μμ = 181
(Population mean weight of men in 2014 is same as that in 1990)

Ha:Ha: μμ > 181
(Population mean weight of men in 2014 has increased)

  1. Based on sample data, you fail to reject the null hypothesis and compared to the unknown truth if your decision was wrong, then you would have made:

    • Type I Error because H0H0 was incorrectly rejected.
    • Type II Error because H0H0 was incorrectly not rejected.


  2. Based on sample data, you fail to reject the null hypothesis. Then your conclusion would be:

    • The sample data support the claim that the average weight of men increased.
    • There is not sufficient sample evidence to support the claim that the average weight of men increased.
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