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Perform a hypothesis test for population mean: Nearly 30 years ago the mean height for women...

Perform a hypothesis test for population mean: Nearly 30 years ago the mean height for women 20 years old and older was 63.7 inches. A recent random sample of 45 women who are 20 years old and older had a mean of 63..9 inches. Perform a hypothesis test on the following hypotheses: Null Hypothesis - the population mean is equal to 63.7 inches and the Alternate Hypothesis - the population mean is greater than 63.7 inches. Use a level of significance of .10 or 10%. The Standard Deviation for the recent random sample of 45 women was .5 inches.

Please show work

Solutions

Expert Solution

To Test :-

H0 :-  

H1 :-  

Test Statistic :-                               
                           
                       
t = 2.6833              

               
Test Criteria :-                                
Reject null hypothesis if
                  
               
Result :- Reject null hypothesis                               

Conclusion :- Accept Alternative Hypothesis

There is sufficient evidence to claim that  the population mean is greater than 63.7 inches at 10% level of significance.


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