Question

Do students study less than 150 minutes (2.5 hours), on average, each week? A survey of 51 randomly selected students finds that on average students study 138 minutes per night with a standard deviation of 32 minutes. A hypothesis test based on this data produces a test statistic of -2.68 and a p-value of 0.005. What are the appropriate decision and conclusion at the 5% significance level? Select one or more: Reject the null hypothesis. Do not reject the null hypothesis. There is enough evidence to claim that students study less than 150 minutes, on average, each week. There is not enough evidence to claim that students study less than 150 minutes, on average, each week.

Answer 1

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


t = -2.678

Test Criteria :-
Reject null hypothesis if


Result :- Reject null hypothesis

Decision based on P value
P - value = 0.005
Reject null hypothesis if P value < level of significance
P - value = 0.005 < 0.05 ,hence we reject null hypothesis

Conclusion :- Reject null hypothesis
There is sufficient evidence to support the claim that students study less than 150 minutes (2.5 hours), on average, each week at 5% level of significance.

There is enough evidence to claim that students study less than 150 minutes, on average, each week.