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[answered] A psychologist has developed an aptitude test which consist


A psychologist has developed an aptitude test which consists of a series of mathematical and vocabulary problems. The test was designed to result in an average score of 63.6. However, it is suspected that the true average is actually greater than this. A hypothesis test is conducted.

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

Download the data

75 89 56 52 56 72 74 61 49 87
45 70 69 55 75 79 53 74 84 62
73 81 93 84 95 62 51 56 61 48
62 51 96 69 67 98 69 63 67 40


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)A level of significance of?? = 0.1?is to be used for the test. The P-value for this test statistic is?lessgreater?than the level of significance.

c)The result of this test is that the null hypothesis is?rejectednot rejected.


 


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