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(c) Construct a 99% confidence interval about u if the sample size, n, is 35. H Lower bound; Upper bound: (Use ascending order. Round to two decimal places as needed)

(c) Construct a 99% confidence interval about u if the sample size, n, is 35. H Lower bound; Upper bound: (Use ascending order. Round to two decimal places as needed)

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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A simple random sample of size n is drawn. The sample mean, x, is found to be 18.5, and the sample standard deviation, s, is found to be 4.9. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 35. Lower bound: 16.82; Upper bound: 20.18 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 51. Lower bound: 17.12; Upper bound: 19.88 0 (Use ascending order. Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? OA: The margin of error increases. OB. The margin of error does not change. c. The margin of error decreases. (c) Construct a 99% confidence interval about u if the sample size, n, is 35. Lower bound: Upper bound (Use ascending order. Round to two decimal places as needed) C
Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, x, is found to be 18.5, and the sample standard deviation, s, is found to be 4.9. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 35. Lower bound: 16.82; Upper bound: 20.18 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 51. Lower bound: 17.12; Upper bound: 19.88 0 (Use ascending order. Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? OA: The margin of error increases. OB. The margin of error does not change. c. The margin of error decreases. (c) Construct a 99% confidence interval about u if the sample size, n, is 35. Lower bound: Upper bound (Use ascending order. Round to two decimal places as needed) C
Table of t-Distribution Areas df 1 1.000 234567 0.25 4 0.20 Area in right tail 1.376 0.816 1.061 0.765 0.978 0.741 0.941 0.727 0.920 0.718 0.906 0711 0806 0.15 1.963 1.386 1.250 1.190 1.156 1.134 1110 0.10 0.05 3.078 1.886 1.638 2.353 1.533 2.132 1.476 2.015 1.440 1415 Table VI 1.943 1.805 t-Distribution Area in Right Tail 0.025 0.02 6.314 12.706 2.920 4.303 4.849 3.182 2.776 2.571 2.447 2.365 0.01 0.005 15.894 31.821 63.657 6.965 9.925 3.482 4.541 5.841 2.999 3.747 4.604 2.757 3.365 4.032 2.612 2517 4 3.143 2.008 3.707 2.400 0.0025 0.001 127.321 318.309 14.089 22.327 7.453 10.215 5.598 7.173 4.773 5.893 4.317 4020 5.208 4785 0.0005 636.619 31.599 12.924 8.610 6.869 5.959 5408
Transcribed Image Text:Table of t-Distribution Areas df 1 1.000 234567 0.25 4 0.20 Area in right tail 1.376 0.816 1.061 0.765 0.978 0.741 0.941 0.727 0.920 0.718 0.906 0711 0806 0.15 1.963 1.386 1.250 1.190 1.156 1.134 1110 0.10 0.05 3.078 1.886 1.638 2.353 1.533 2.132 1.476 2.015 1.440 1415 Table VI 1.943 1.805 t-Distribution Area in Right Tail 0.025 0.02 6.314 12.706 2.920 4.303 4.849 3.182 2.776 2.571 2.447 2.365 0.01 0.005 15.894 31.821 63.657 6.965 9.925 3.482 4.541 5.841 2.999 3.747 4.604 2.757 3.365 4.032 2.612 2517 4 3.143 2.008 3.707 2.400 0.0025 0.001 127.321 318.309 14.089 22.327 7.453 10.215 5.598 7.173 4.773 5.893 4.317 4020 5.208 4785 0.0005 636.619 31.599 12.924 8.610 6.869 5.959 5408
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