Question

3. FBA would like to explore the studying time of its students. Management suspects that the mean studying time is less than 48 hours. A random sample of 10 FBA students contains the following observations, in hours, for time spent studying in the week before final examinations:

28 57 42 35 61 39 55 46 49 38

a. At 5% significance level, state the decision rule for the hypotheses.

b. Calculate the value of the test statistic.

c. Based on the decision rule in part (f), what would you report to the management?

Answer 1

	Values ( X )
	28	289
	57	144
	42	9
	35	100
	61	256
	39	36
	55	100
	46	1
	49	16
	38	49
Total	450	1000

Mean

Standard deviation

To Test :-

H0 :-

H1 :-  

Test Statistic :-


t = -0.9

Test Criteria :-
Reject null hypothesis if


Result :- Fail to reject null hypothesis

Decision based on P value
P - value = P ( t > 0.9 ) = 0.1958
Reject null hypothesis if P value < level of significance
P - value = 0.1958 > 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 studying time is less than 48 hours at 5% level of significance.