To estimate the benefits of an SAT prep course, a random sample of 10 students enrolled in the course is selected. For each of these students, their entrance score on the exam taken at the beginning of the course is recorded. Their exit score on the exam they take at the end of the course is recorded as well. The table displays the scores.   The mean of the differences is 193 points, and the standard deviation of the differences is 62.73 points. The conditions for inference are met. A 98% confidence interval for the mean difference (after – before) in score is 137.04 points to 248.96 points. What is the correct interpretation of this interval? 98% of students in this sample increased their score, on average, by 137.04 to 248.96 points. 98% of students who take this course will increase their score, on average, by 137.04 to 248.96 points. The school can be 98% confident that students who take this course increase their SAT score, on average, by 137.04 to 248.96 points. The school can be 98% confident that the students in the sample increased their SAT score, on average, by 137.04 to 248.96 points.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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To estimate the benefits of an SAT prep course, a random sample of 10 students enrolled in the course is selected. For each of these students, their entrance score on the exam taken at the beginning of the course is recorded. Their exit score on the exam they take at the end of the course is recorded as well. The table displays the scores.

 

The mean of the differences is 193 points, and the standard deviation of the differences is 62.73 points. The conditions for inference are met. A 98% confidence interval for the mean difference (after – before) in score is 137.04 points to 248.96 points. What is the correct interpretation of this interval?

98% of students in this sample increased their score, on average, by 137.04 to 248.96 points.
98% of students who take this course will increase their score, on average, by 137.04 to 248.96 points.
The school can be 98% confident that students who take this course increase their SAT score, on average, by 137.04 to 248.96 points.
The school can be 98% confident that the students in the sample increased their SAT score, on average, by 137.04 to 248.96 points.
Student
1
2
4
6
7
8
10
Before
800
870
860
820
1140
1050
850
910
830
1140
After
1100
1010
1000
980
1410
1270
1020
1010
1060
1340
Transcribed Image Text:Student 1 2 4 6 7 8 10 Before 800 870 860 820 1140 1050 850 910 830 1140 After 1100 1010 1000 980 1410 1270 1020 1010 1060 1340
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