This problem is already done just checking to make sure befo

(This problem is already done just checking to make sure before I submit it that it\'s correct)

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 75.

A random sample of 40 people have taken the test and their results recorded:

Download the data

You may find this Student\'s t distribution table useful throughout this question.

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

t = -2.642

b)At a level of significance of ? = 0.05, the result of this test is that the null hypothesis is (rejected).

59 77 63 83 68 56 91 72 78 74
46 76 87 89 59 64 61 42 54 88
60 59 66 57 89 54 94 75 68 42
49 67 77 96 73 64 66 63 94 54

Solution

(a)

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(b) Reject Ho.

75.000 hypothesized value
68.850 mean Data
14.722 std. dev.
2.328 std. error
40 n
39 df
-2.64 t
.0118 p-value (two-tailed)
(This problem is already done just checking to make sure before I submit it that it\'s correct) A psychologist has developed an aptitude test which consists of

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