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.

milcah answered 3 months ago

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