In: Math
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
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.