2. A psychologist uses a treatment method called Cognitive Behavioral Therapy (CBT) to help reduce stress among college students. She offered weekly therapy sessions to 30 college students and measured the stress level of each student before the first therapy session and again after the last therapy session. She wants to estimate the amount of stress reduction after students receive the CBT treatment. Students' average stress score changed from M, = 35 before the first therapy session to M; = 29.5 after the last therapy session. The data produced a mean difference of Mo = 5.5 and a sum of square of SSp = 426.3 for the difference scores between the two measurements. a. Use the sample data to make a point estimate of the mean difference in stress scores between the two measurements (i.e., before the first therapy session and after the last therapy session) in the population. b. Make an interval estimate of the mean difference so that you are 90% confident that the population mean difference is in your interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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I would like help with question 2 both A and B. 

2. A psychologist uses a treatment method called Cognitive Behavioral Therapy (CBT) to help reduce stress
among college students. She offered weekly therapy sessions to 30 college students and measured the stress
level of each student before the first therapy session and again after the last therapy session. She wants to
estimate the amount of stress reduction after students receive the CBT treatment. Students' average stress
score changed from M, = 35 before the first therapy session to M: = 29.5 after the last therapy session. The
data produced a mean difference of Mo = 5.5 and a sum of square of SSp = 426.3 for the difference scores
between the two measurements.
a. Use the sample data to make a point estimate of the mean difference in stress scores between the two
measurements (i.e., before the first therapy session and after the last therapy session) in the population.
b. Make an interval estimate of the mean difference so that you are 90% confident that the population mean
difference is in your interval.
Transcribed Image Text:2. A psychologist uses a treatment method called Cognitive Behavioral Therapy (CBT) to help reduce stress among college students. She offered weekly therapy sessions to 30 college students and measured the stress level of each student before the first therapy session and again after the last therapy session. She wants to estimate the amount of stress reduction after students receive the CBT treatment. Students' average stress score changed from M, = 35 before the first therapy session to M: = 29.5 after the last therapy session. The data produced a mean difference of Mo = 5.5 and a sum of square of SSp = 426.3 for the difference scores between the two measurements. a. Use the sample data to make a point estimate of the mean difference in stress scores between the two measurements (i.e., before the first therapy session and after the last therapy session) in the population. b. Make an interval estimate of the mean difference so that you are 90% confident that the population mean difference is in your interval.
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