In an effort to improve the mathematical skills of 13 students, a teacher provides a weekly 1-hour tutoring session. A pre-test is given before the sessions and a post-test is given after. The results are shown here. Test the claim that there was a difference in the scores. at a =0.05. You believe that the population is normally distributed, but you do not know the standard deviation. When calculating difference use Post-test minus Pre- test. pre-test post-test 87 93 84 76 81 76 70 67 84 88 73 70 82 75 99 105 90 97 87 82 75 81 93 101 54 59 Which of the following are the correct hypotheses? OHo : µd 2 0 HA : µd < 0(claim) Но : ра < 0 H A : Hd > 0(claim) Ho : Hd = 0 HA : µd + 0(claim) Given that a is 0.05 the critical value is 2.179 and -2.179 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)

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