a) Test at the 1% significance level if there is a change in the academic performance of students due to hypnotism. b) Construct a 99% confidence interval to see whether there is difference in the academic performance using hypnosis. c) According to the interval, clearly state if the data supports the claim that the hypnosis changed the academic performance.

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1) A random sample of cight students was selected to test for the effectiveness of hypnosis on
their academic performance. The following table gives the GPA for the semester before and the
semester after they tried hypnosis.
Before 2.3
| 2.6
2.8
3.1
2.7
3.4
2.6
2.8
2.5
After
3.2
3.0
3.5
3.7
2.4
2.9
2.9
a) Test at the 1% significance level if there is a change in the academic performance of students
due to hypnotism.
b) Construct a 99% confidence interval to see whether there is difference in the academic
performance using hypnosis.
c) According to the interval, clearly state if the data supports the claim that the hypnosis changed
the academic performance.
d) Is the result in a) and b) consistent? Explain briefly.
Transcribed Image Text:1) A random sample of cight students was selected to test for the effectiveness of hypnosis on their academic performance. The following table gives the GPA for the semester before and the semester after they tried hypnosis. Before 2.3 | 2.6 2.8 3.1 2.7 3.4 2.6 2.8 2.5 After 3.2 3.0 3.5 3.7 2.4 2.9 2.9 a) Test at the 1% significance level if there is a change in the academic performance of students due to hypnotism. b) Construct a 99% confidence interval to see whether there is difference in the academic performance using hypnosis. c) According to the interval, clearly state if the data supports the claim that the hypnosis changed the academic performance. d) Is the result in a) and b) consistent? Explain briefly.
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