State whether each of the following changes would make a confidence interval wider or narrower. (Assume that nothing else changes.) a. Changing from a 90% confidence level to a 95% confidence level. b. Changing from a sample size of 200 to a sample size of 20. c. Changing from a standard deviation of 30 pounds to a standard deviation of 15 pounds. Click the icon to view the t-table. a. How will changing from a 90% confidence level to a 95% confidence level affect the width of the confidence interval? OA. The interval will become wider. OB. The interval will become narrower. OC. This change will not affect the width of the interval. b. How will changing from a sample size of 200 to a sample size of 20 affect the width of the confidence interval? OA. The interval will become wider. OB. The interval will become narrower. OC. This change will not affect the width of the interval. c. How will changing from a standard deviation of 30 pounds to a standard deviation of 15 pounds affect the width of the confidence interval? OA. The interval will become wider. OB. The interval will become narrower. OC. This change will not affect the width of the interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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State whether each of the following changes would make a confidence interval wider or narrower. (Assume that nothing else changes.)
a. Changing from a 90% confidence level to a 95% confidence level.
b. Changing from a sample size of 200 to a sample size of 20.
c. Changing from a standard deviation of 30 pounds to a standard deviation of 15 pounds.
Click the icon to view the t-table.
a. How will changing from a 90% confidence level to a 95% confidence level affect the width of the confidence interval?
OA. The interval will become wider.
OB. The interval will become narrower.
OC. This change will not affect the width of the interval.
b. How will changing from a sample size of 200 to a sample size of 20 affect the width of the confidence interval?
OA. The interval will become wider.
OB. The interval will become narrower.
OC. This change will not affect the width of the interval.
c. How will changing from a standard deviation of 30 pounds to a standard deviation of 15 pounds affect the width of the confidence interval?
OA. The interval will become wider.
OB. The interval will become narrower.
OC. This change will not affect the width of the interval.
Transcribed Image Text:← State whether each of the following changes would make a confidence interval wider or narrower. (Assume that nothing else changes.) a. Changing from a 90% confidence level to a 95% confidence level. b. Changing from a sample size of 200 to a sample size of 20. c. Changing from a standard deviation of 30 pounds to a standard deviation of 15 pounds. Click the icon to view the t-table. a. How will changing from a 90% confidence level to a 95% confidence level affect the width of the confidence interval? OA. The interval will become wider. OB. The interval will become narrower. OC. This change will not affect the width of the interval. b. How will changing from a sample size of 200 to a sample size of 20 affect the width of the confidence interval? OA. The interval will become wider. OB. The interval will become narrower. OC. This change will not affect the width of the interval. c. How will changing from a standard deviation of 30 pounds to a standard deviation of 15 pounds affect the width of the confidence interval? OA. The interval will become wider. OB. The interval will become narrower. OC. This change will not affect the width of the interval.
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