Question

In an effort to improve the mathematical skills of 18 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 αα=0.01. 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
84	94
96	91
94	93
72	76
56	51
86	88
58	54
69	64
82	86
78	71
51	55
86	88
51	60
68	76
89	84
93	94
73	74
72	76

Which of the following are the correct hypotheses?

• H0:μd≥0H0:μd≥0
  HA:μd<0HA:μd<0(claim)
• H0:μd≤0H0:μd≤0
  HA:μd>0HA:μd>0(claim)
• H0:μd=0H0:μd=0
  HA:μd≠0HA:μd≠0(claim)

Given that αα is 0.01 the critical value is 2.898 and -2.898

The test statistic is: (round to 3 places)

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

The decision can be made to:

• reject H0H0
• do not reject H0H0

The final conclusion is that:

• There is enough evidence to reject the claim that there was a difference in the scores.
• There is not enough evidence to reject the claim that there was a difference in the scores.
• There is enough evidence to support the claim that there was a difference in the scores.
• There is not enough evidence to support the claim that there was a difference in the scores.

Answer 1