Question

The mean blood chloesterol level for all men aged 20 to 34 years is 188 mg/dl. We suspect that the mean for cross-country runners is lower. The average for 14 cross-country runners is 172 mg/dl with a standard deviation of 41 mg/dl. Solve using the traditional method. Find the p-value for your test statistic. Use an a= 0.05

Answer 1

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


t = -1.4602

Test Criteria :-
Reject null hypothesis if


Result :- Fail to reject null hypothesis

Decision based on P value
P - value = P ( t > 1.4602 ) = 0.084
Reject null hypothesis if P value <    level of significance
P - value = 0.084 > 0.05 ,hence we fail to reject null hypothesis
Conclusion :- Fail to reject null hypothesis

There is insufficient evidence to support the claim that  the mean for cross-country runners is lower than 188 mg/dl.