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5.22 High School and beyond, Part II: We considered the differences between the reading and writing scores of a random sample of 200 students who took the High School and Beyond Survey in Exercise 5.21. The mean and standard deviation of the differences are Dead-write = -0.545 and 8.887 points respectively. (a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students points (please round to two decimal places) points (please round to two decimal places) lower bound: upper bound: (b) Interpret this interval in context. 95% of students will have a difference between reading and writing scores that falls within our confidence interval We can be 95% confident that our confidence interval contains the mean difference between reading and writing scores of these 200 students We can be 95% confident that the average difference between reading and writing scores of all students is contained within our confidence interval (c) Does the confidence interval provide convincing evidence that there is a real difference in the average scores? Explain. no, since 0 is contained in our confidence interval yes, since 0 is contained in our confidence interval yes, because negative scores are impossible and our confidence interval contains them no, because or confidence interval contains both positive and negative values

5.22 High School and beyond, Part II: We considered the differences between the reading and writing scores of a random sample of 200 students who took the High School and Beyond Survey in Exercise 5.21. The mean and standard deviation of the differences are Dead-write = -0.545 and 8.887 points respectively. (a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students points (please round to two decimal places) points (please round to two decimal places) lower bound: upper bound: (b) Interpret this interval in context. 95% of students will have a difference between reading and writing scores that falls within our confidence interval We can be 95% confident that our confidence interval contains the mean difference between reading and writing scores of these 200 students We can be 95% confident that the average difference between reading and writing scores of all students is contained within our confidence interval (c) Does the confidence interval provide convincing evidence that there is a real difference in the average scores? Explain. no, since 0 is contained in our confidence interval yes, since 0 is contained in our confidence interval yes, because negative scores are impossible and our confidence interval contains them no, because or confidence interval contains both positive and negative values

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5.22 High School and beyond, Part II: We considered the differences between the reading and writing scores of a random sample of 200 students who took the High School and Beyond Survey in Exercise 5.21. The mean and standard deviation of the differences are Dead-write = -0.545 and 8.887 points respectively. (a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students points (please round to two decimal places) points (please round to two decimal places) lower bound: upper bound: (b) Interpret this interval in context. 95% of students will have a difference between reading and writing scores that falls within our confidence interval We can be 95% confident that our confidence interval contains the mean difference between reading and writing scores of these 200 students We can be 95% confident that the average difference between reading and writing scores of all students is contained within our confidence interval (c) Does the confidence interval provide convincing evidence that there is a real difference in the average scores? Explain. no, since 0 is contained in our confidence interval yes, since 0 is contained in our confidence interval yes, because negative scores are impossible and our confidence interval contains them no, because or confidence interval contains both positive and negative values
Transcribed Image Text:5.22 High School and beyond, Part II: We considered the differences between the reading and writing scores of a random sample of 200 students who took the High School and Beyond Survey in Exercise 5.21. The mean and standard deviation of the differences are Dead-write = -0.545 and 8.887 points respectively. (a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students points (please round to two decimal places) points (please round to two decimal places) lower bound: upper bound: (b) Interpret this interval in context. 95% of students will have a difference between reading and writing scores that falls within our confidence interval We can be 95% confident that our confidence interval contains the mean difference between reading and writing scores of these 200 students We can be 95% confident that the average difference between reading and writing scores of all students is contained within our confidence interval (c) Does the confidence interval provide convincing evidence that there is a real difference in the average scores? Explain. no, since 0 is contained in our confidence interval yes, since 0 is contained in our confidence interval yes, because negative scores are impossible and our confidence interval contains them no, because or confidence interval contains both positive and negative values
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