Question

A psychologist has developed an aptitude test which consists of a series of mathematical and vocabulary problems. They want to test the hypothesis that the mean test score is 65.

A random sample of 30 people have taken the test and their results recorded:

55 83 76 60 95 59 72 76 59 55 71 59 51 72 76 41 76 69 70 87 67 60 95 49 65 83 61 62 88 63

a.) Calculate the test statistic (t) for the hypothesis test. Give your answer to 4 decimal places.

t = _____

b.) At a level of significance of α = 0.1, the result of this test is that the null hypothesis is ( rejected & not rejected )

Answer 1

	Values ( X )
	55	182.25
	83	210.25
	76	56.25
	60	72.25
	95	702.25
	59	90.25
	72	12.25
	76	56.25
	59	90.25
	55	182.25
	71	6.25
	59	90.25
	51	306.25
	72	12.25
	76	56.25
	41	756.25
	76	56.25
	69	0.25
	70	2.25
	87	342.25
	67	2.25
	60	72.25
	95	702.25
	49	380.25
	65	12.25
	83	210.25
	61	56.25
	62	42.25
	88	380.25
	63	30.25
Total	2055	5171.5

Mean    *

Standard deviation   

To Test :-

H0 :-

H1 :-

Test Statistic :-


t = 1.4356

Test Criteria :-
Reject   null hypothesis if  


Result :-    Fail to reject null hypothesis

Conclusion :- Not rejected