Question

A sample of 33 UT football home games found that the number of boats in the Vol Navy anchored in eyesight of Neyland stadium average31, with a standard deviation of

7.6, Further research shows that the number of boats are normally distributed. Is the average number of boats in the Vol Navy that are anchored in eyesight of Neyland stadium for all home games is 25.2 boats​? Use a 0.01 significance level.

find the test statistic and the p-value.

Answer 1

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


t = 4.384

Test Criteria :-
Reject null hypothesis if


Result :- Reject null hypothesis

Decision based on P value
P - value = P ( t > 4.384 ) = 0.0001
Reject null hypothesis if P value < level of significance
P - value = 0.0001 < 0.01 ,hence we reject null hypothesis
Conclusion :- Reject null hypothesis

There is insufficient evidence to support the claim that the average number of boats in the Vol Navy that are anchored in eyesight of Neyland stadium for all home games is 25.2 boats at 1% level of significance.