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. Student 1 2 3 4 5 6 7 8 9 10 Before 800 870 860 820 1140 1050 850 910 830 1140 After 1100 1010 1000 980 1410 1270 1020 1010 1060 1340 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? O 98% of students in this sample increased their score, on average, by 137.04 to 248.96 points. O 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. O 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.
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. Student 1 2 3 4 5 6 7 8 9 10 Before 800 870 860 820 1140 1050 850 910 830 1140 After 1100 1010 1000 980 1410 1270 1020 1010 1060 1340 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? O 98% of students in this sample increased their score, on average, by 137.04 to 248.96 points. O 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. O 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
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
Transcribed Image Text: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.
Student 1
2
3
4
5
6
7
8
9
10
1140 1050
850
910
830
1140
Before
After
800 870 860 820
1100 1010 1000 980
1410 1270 1020 1010
1060
1340
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman