A researcher wishes to test the effects of excerise on theability to complete a basic skills test. He designs a pre-test andpost-test to give to each participant. You believe that there wasan increase in the scores. You believe the population of thedifferences is normally distributed, but you do not know thestandard deviation. When calculating difference use Post-test minusPre-test. pre-test post-test 52 60 60 55 44 49 92 94 84 76 55 65 6458 67 66 53 59 99 99 75 79 77 82 Which of the following are thecorrect hypotheses? H 0 : ? d ? 0 H 0 : ? d ? 0 H A : ? d < 0 HA : ? d < 0 (claim) H 0 : ? d ? 0 H 0 : ? d ? 0 H A : ? d > 0H A : ? d > 0 (claim) H 0 : ? d = 0 H 0 : ? d = 0 H A : ? d ? 0H A : ? d ? 0 (claim) Correct

Given that ? ? is 0.10 the critical value is 1.363

The test statistic is: Incorrect(round to 3 places)

The p-value is: Incorrect(round to 3 places)

In an effort to improve the mathematical skills of 18 students,a teacher provides a weekly 1-hour tutoring session. A pre-test isgiven before the sessions and a post-test is given after. Theresults are shown here. Test the claim that there was an increasein the scores. at ??=0.01. You believe that the population isnormally distributed, but you do not know the standard deviation.When calculating difference use Post-test minus Pre-test.

pre-test	post-test
82	80
91	90
60	58
55	51
76	74
83	79
68	66
86	84
85	81
79	83
100	91
59	61
40	47
43	49
62	61
46	45
44	36
74	82

Which of the following are the correct hypotheses?

• H0:?d?0H0:?d?0
  HA:?d<0HA:?d<0(claim)
• H0:?d?0H0:?d?0
  HA:?d>0HA:?d>0(claim)
• H0:?d=0H0:?d=0
  HA:?d?0HA:?d?0(claim)

Given that ?? is 0.01 the critical value is 2.567
The test statistic is: (round to 3 places)
The p-value is: (round to 3 places)