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 80.

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 rejectednot rejected.

85 73 73 65 63 68 65 79 92 54 65 40 62 60 54 65 85 56 58 58 61 69 76 95 96 78 41 87 66 74 70 85 91 54 68 85 70 43 51 44

Explanation / Answer

(a)

t=(xbar-mu)/(s/vn)

=(68.1-80)/(14.904/sqrt(40))

=-5.0498

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(b)null hypothesis is rejectednot rejected.

68.100 mean Data 14.904 std. dev. 2.357 std. error 40 n 39 df

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