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 66.3. 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 97 91 51 63 87 46 75 63 46 57 62 75 56 57 72 59 70 65 86 87 69 60 77 88 76 89 52 76 71 96 67 47 96 59 61 57 69 46 79 63 You may find this Student's t distribution table useful throughout this question.

a)Calculate the test statistic (t) for the hypothesis test. t = _____

b)A level of significance of = 0.05 is to be used for the test. The P-value for this test statistic is less or greater (?) than the level of significance.

c)The result of this test is that the null hypothesis is ____