Question

In: Statistics and Probability

A psychologist has developed an aptitude test which consists of a series of mathematical and vocabulary...

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 )

Solutions

Expert Solution

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


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