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We consider the differences between the reading and writing scores of a random sample of 200 students who took the High School and Beyond Survey. The mean and standard deviation of the differences are Xread - write= -0.531 and 8.858 points. (a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students. (Round your answers to two decimal places.) (b) Interpret this interval in context. (Round your answers to two decimal places.) We are 95% confident that on the reading test students score, on average, points lower to points higher than they do on the writing test. (c) Does the confidence interval provide convincing evidence that there is a real difference in the average scores? Explain. Since 0 is You may need to use the appropriate table in the Appendix of Tables to answer this question. ✓✓✓included in the interval, the confidence interval does not ✓✓✔ provide convincing evidence that there is a real difference in the average scores.

We consider the differences between the reading and writing scores of a random sample of 200 students who took the High School and Beyond Survey. The mean and standard deviation of the differences are Xread - write= -0.531 and 8.858 points. (a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students. (Round your answers to two decimal places.) (b) Interpret this interval in context. (Round your answers to two decimal places.) We are 95% confident that on the reading test students score, on average, points lower to points higher than they do on the writing test. (c) Does the confidence interval provide convincing evidence that there is a real difference in the average scores? Explain. Since 0 is You may need to use the appropriate table in the Appendix of Tables to answer this question. ✓✓✓included in the interval, the confidence interval does not ✓✓✔ provide convincing evidence that there is a real difference in the average scores.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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We consider the differences between the reading and writing scores of a random sample of 200 students who took the High School and Beyond Survey. The mean and standard deviation of the differences are Xread = -0.531 and 8.858 points. write (a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students. (Round your answers to two decimal places.) (b) Interpret this interval in context. (Round your answers to two decimal places.) We are 95% confident that on the reading test students score, on average, points lower to You may need to use the appropriate table in the Appendix of Tables to answer this question. points higher than they do on the writing test. (c) Does the confidence interval provide convincing evidence that there is a real difference in the average scores? Explain. Since 0 is included in the interval, the confidence interval does not provide convincing evidence that there is a real difference in the average scores.
Transcribed Image Text:We consider the differences between the reading and writing scores of a random sample of 200 students who took the High School and Beyond Survey. The mean and standard deviation of the differences are Xread = -0.531 and 8.858 points. write (a) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students. (Round your answers to two decimal places.) (b) Interpret this interval in context. (Round your answers to two decimal places.) We are 95% confident that on the reading test students score, on average, points lower to You may need to use the appropriate table in the Appendix of Tables to answer this question. points higher than they do on the writing test. (c) Does the confidence interval provide convincing evidence that there is a real difference in the average scores? Explain. Since 0 is included in the interval, the confidence interval does not provide convincing evidence that there is a real difference in the average scores.
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