A psychologist has developed an aptitude test which consists of a series of math

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 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 =

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

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

Explanation / Answer

(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)

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