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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 20 to a sample size of 350. c. Changing from a standard deviation of 15 pounds to a standard deviation of 30 pounds. E 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? A. The interval will become wider. O B. 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 20 to a sample size of 350 affect the width of the confidence interval? O A. 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 15 pounds to a standard deviation of 30 pounds affect the width of the confidence interv O A. The interval will become wider. B. The interval will become narrower. OC. This change will not affect the width of the interval.

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 20 to a sample size of 350. c. Changing from a standard deviation of 15 pounds to a standard deviation of 30 pounds. E 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? A. The interval will become wider. O B. 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 20 to a sample size of 350 affect the width of the confidence interval? O A. 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 15 pounds to a standard deviation of 30 pounds affect the width of the confidence interv O A. The interval will become wider. B. The interval will become narrower. OC. This change will not affect the width of the interval.

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 19PFA
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t-table 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 20 to a sample size of 350. c. Changing from a standard deviation of 15 pounds to a standard deviation of 30 pounds. t Distribution Critical Values Click the icon to view the t-table. Confidence Level a. How will changing from a 90% confidence level to a 95% confidence level affect the width of the confidence interval? 80% 90% 95% 98% 99% 99.8% Right-Tail Probability A. The interval will become wider. df t,100 t050 t 025 t010 to05 t,001 B. The interval will become narrower. 1 3.078 6.314 12.706 31.821 63.656 318.289 O C. This change will not affect the width of the interval. 2 1.886 2.920 4.303 6.965 9.925 22.328 3 1.638 2.353 3.182 4.541 5.841 10.214 b. How will changing from a sample size of 20 to a sample size of 350 affect the width of the confidence interval? 4 1.533 2.132 2.776 3.747 4.604 7.173 1.476 2.015 2.571 3.365 4.032 5.894 A. The interval will become wider. 1.440 1.943 2.447 3.143 3.707 5.208 B. The interval will become narrower. 7 1.415 1.895 2.365 2.998 3.499 4.785 1.397 1.860 2.306 2.896 3.355 4.501 C. This change will not affect the width of the interval. 9. 1.383 1.833 2.262 2.821 3.250 4.297 10 1.372 1.812 2.228 2.764 3.169 4.144 c. How will changing from a standard deviation of 15 pounds to a standard deviation of 30 pounds affect the width of the confidence interv 11 1.363 1.796 2.201 2.718 3.106 4.025 12 1.356 1.782 2.179 2.681 3.055 3.930 A. The interval will become wider. 13 1.350 1.771 2.160 2.650 3.012 3.852 B. The interval will become narrower. 14 1.345 1.761 2.145 2.624 2.977 3.787 15 1.341 1.753 2.131 2.602 2.947 3.733 C. This change will not affect the width of the interval. 16 1.337 1.746 2.120 2.583 2.921 3.686 17 1.333 1.740 2.110 2.567 2.898 3.646 18 1.330 1.734 2.101 2.552 2.878 3.611 19 1.328 1.729 2.093 2.539 2.861 3.579 20 1.325 1.725 2.086 2.528 2.845 3.552 21 1.323 1.721 2.080 2.518 2.831 3.527 1.321 1 319. 22 1.717 2.074 2.508 2.819 3.505 23 1714 2069 2 500. 2 807 3 485 Print Done Click to select your answer.
Transcribed Image Text:t-table 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 20 to a sample size of 350. c. Changing from a standard deviation of 15 pounds to a standard deviation of 30 pounds. t Distribution Critical Values Click the icon to view the t-table. Confidence Level a. How will changing from a 90% confidence level to a 95% confidence level affect the width of the confidence interval? 80% 90% 95% 98% 99% 99.8% Right-Tail Probability A. The interval will become wider. df t,100 t050 t 025 t010 to05 t,001 B. The interval will become narrower. 1 3.078 6.314 12.706 31.821 63.656 318.289 O C. This change will not affect the width of the interval. 2 1.886 2.920 4.303 6.965 9.925 22.328 3 1.638 2.353 3.182 4.541 5.841 10.214 b. How will changing from a sample size of 20 to a sample size of 350 affect the width of the confidence interval? 4 1.533 2.132 2.776 3.747 4.604 7.173 1.476 2.015 2.571 3.365 4.032 5.894 A. The interval will become wider. 1.440 1.943 2.447 3.143 3.707 5.208 B. The interval will become narrower. 7 1.415 1.895 2.365 2.998 3.499 4.785 1.397 1.860 2.306 2.896 3.355 4.501 C. This change will not affect the width of the interval. 9. 1.383 1.833 2.262 2.821 3.250 4.297 10 1.372 1.812 2.228 2.764 3.169 4.144 c. How will changing from a standard deviation of 15 pounds to a standard deviation of 30 pounds affect the width of the confidence interv 11 1.363 1.796 2.201 2.718 3.106 4.025 12 1.356 1.782 2.179 2.681 3.055 3.930 A. The interval will become wider. 13 1.350 1.771 2.160 2.650 3.012 3.852 B. The interval will become narrower. 14 1.345 1.761 2.145 2.624 2.977 3.787 15 1.341 1.753 2.131 2.602 2.947 3.733 C. This change will not affect the width of the interval. 16 1.337 1.746 2.120 2.583 2.921 3.686 17 1.333 1.740 2.110 2.567 2.898 3.646 18 1.330 1.734 2.101 2.552 2.878 3.611 19 1.328 1.729 2.093 2.539 2.861 3.579 20 1.325 1.725 2.086 2.528 2.845 3.552 21 1.323 1.721 2.080 2.518 2.831 3.527 1.321 1 319. 22 1.717 2.074 2.508 2.819 3.505 23 1714 2069 2 500. 2 807 3 485 Print Done Click to select your answer.
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