A random sample of 8 students was selected to test the effectiveness of hypnosis on their academic performance. The following gives the GPA for the term before and the term after they tried hypnosis. Assume that GPA is normally distributed. Before 2.3 2.8 3.1 2.7 3.4 2.6 2.8 2.5 After 2.6 3.2 3.0 3.5 3.7 2.4 2.9 2.9 a. Does the data support the claim that the hypnosis changed the academic performance? Use a= 0.01 b. Construct a 99% confidence interval for the mean of the differences.

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A random sample of 8 students was selected to test the effectiveness of hypnosis on their academic performance.
The following gives the GPA for the term before and the term after they tried hypnosis. Assume that GPA is normally
distributed.
Before
2.3
2.8
3.1
2.7
3.4
2.6
2.8
2.5
After
2.6
3.2
3.0
3.5
3.7
2.4
2.9
2.9
a. Does the data support the claim that the hypnosis changed the academic performance? Use a= 0.01
b. Construct a 99% confidence interval for the mean of the differences.
Transcribed Image Text:A random sample of 8 students was selected to test the effectiveness of hypnosis on their academic performance. The following gives the GPA for the term before and the term after they tried hypnosis. Assume that GPA is normally distributed. Before 2.3 2.8 3.1 2.7 3.4 2.6 2.8 2.5 After 2.6 3.2 3.0 3.5 3.7 2.4 2.9 2.9 a. Does the data support the claim that the hypnosis changed the academic performance? Use a= 0.01 b. Construct a 99% confidence interval for the mean of the differences.
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