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16.10 Retaking the SAT. In Exercise 16.2 (page 377), we saw that an SRS of 400 high school seniors gained an average of x = 9 points in their second attempt at the SAT Mathematics exam. Assuming that the change in score has a Nor- mal distribution with standard deviation o = dence interval for the mean change in score u in the population of all high 40, we computed a 95% confi- school seniors. (a) Find a 90% confidence interval for u based on this sample. (b) What is the margin of error for 90%? How does decreasing the confi- dence level change the margin of error of a confidence interval when the sample size and population standard deviation remain the same?

16.10 Retaking the SAT. In Exercise 16.2 (page 377), we saw that an SRS of 400 high school seniors gained an average of x = 9 points in their second attempt at the SAT Mathematics exam. Assuming that the change in score has a Nor- mal distribution with standard deviation o = dence interval for the mean change in score u in the population of all high 40, we computed a 95% confi- school seniors. (a) Find a 90% confidence interval for u based on this sample. (b) What is the margin of error for 90%? How does decreasing the confi- dence level change the margin of error of a confidence interval when the sample size and population standard deviation remain the same?

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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needs to be solved with calculator please ti 83 or 84

Ruler EOne Page CL View Side by Side Gridlines EE Multiple Pages ID Synchronous Scrolling Focus ImmeIsive Reader Side Zoom 100% New Arrange Split Switch Windows to Side Navigation Pane Page Width Window All Reset Window Position Immersive Page Movement Show Zoom Window SOME COMMON VALJJES OF Z* Confidence Level Tail Level 60% .20 .84 80% .10 1.28 90% .05 1.645 95% .025 1.96 96% .02 2.05 98% .01 2.33 99% .005 2.576 Focus W
Transcribed Image Text:Ruler EOne Page CL View Side by Side Gridlines EE Multiple Pages ID Synchronous Scrolling Focus ImmeIsive Reader Side Zoom 100% New Arrange Split Switch Windows to Side Navigation Pane Page Width Window All Reset Window Position Immersive Page Movement Show Zoom Window SOME COMMON VALJJES OF Z* Confidence Level Tail Level 60% .20 .84 80% .10 1.28 90% .05 1.645 95% .025 1.96 96% .02 2.05 98% .01 2.33 99% .005 2.576 Focus W
16.10 Retaking the SAT. In Exercise 16.2 (page 377), we saw that an SRS of 400 high school seniors gained an average of x = 9 points in their second attempt at the SAT Mathematics exam. Assuming that the change in score has a Nor- mal distribution with standard deviation o = 40, we computed a 95% confi- dence interval for the mean change in score u in the population of all high school seniors. (a) Find a 90% confidence interval for u based on this sample. (b) What is the margin of error for 90%? How does decreasing the confi- dence level change the margin of error of a confidence interval when the sample size and population standard deviation remain the same? (c) Suppose we had an SRS of just 100 high school seniors. What would be the margin of error for 95% confidence? (d) How does decreasing the sample size change the margin of error of a confidence interval when the confidence level and population standard deviation remain the same?
Transcribed Image Text:16.10 Retaking the SAT. In Exercise 16.2 (page 377), we saw that an SRS of 400 high school seniors gained an average of x = 9 points in their second attempt at the SAT Mathematics exam. Assuming that the change in score has a Nor- mal distribution with standard deviation o = 40, we computed a 95% confi- dence interval for the mean change in score u in the population of all high school seniors. (a) Find a 90% confidence interval for u based on this sample. (b) What is the margin of error for 90%? How does decreasing the confi- dence level change the margin of error of a confidence interval when the sample size and population standard deviation remain the same? (c) Suppose we had an SRS of just 100 high school seniors. What would be the margin of error for 95% confidence? (d) How does decreasing the sample size change the margin of error of a confidence interval when the confidence level and population standard deviation remain the same?
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