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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to be 10. a) Construct an 80% confidence interval about p if the sample size, n, is 21. b) Construct an 80% confidence interval about u if the sample size, n, is 12. c) Construct a 70% confidence interval about u if the sample size, n, is 21. d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? E Click the icon to view the table of areas under the t-distribution. (a) Construct an 80% confidence interval about u if the sample size, n, is 21. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.) (b) Construct an 80% confidence interval about p if the sample size, n, is 12. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.)

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to be 10. a) Construct an 80% confidence interval about p if the sample size, n, is 21. b) Construct an 80% confidence interval about u if the sample size, n, is 12. c) Construct a 70% confidence interval about u if the sample size, n, is 21. d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? E Click the icon to view the table of areas under the t-distribution. (a) Construct an 80% confidence interval about u if the sample size, n, is 21. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.) (b) Construct an 80% confidence interval about p if the sample size, n, is 12. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place 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
Section10.4: Distributions Of Data
Problem 19PFA
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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to be 10. a) Construct an 80% confidence interval about p if the sample size, n, is 21. b) Construct an 80% confidence interval about p if the sample size, n, is 12. c) Construct a 70% confidence interval about u if the sample size, n, is 21. d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? E Click the icon to view the table of areas under the t-distribution. (a) Construct an 80% confidence interval about u if the sample size, n, is 21. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.) (b) Construct an 80% confidence interval about µ if the sample size, n, is 12. Lower bound: Upper bound: (Use ascending order. Round to one decimal place as needed.)
Transcribed Image Text:A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to be 10. a) Construct an 80% confidence interval about p if the sample size, n, is 21. b) Construct an 80% confidence interval about p if the sample size, n, is 12. c) Construct a 70% confidence interval about u if the sample size, n, is 21. d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? E Click the icon to view the table of areas under the t-distribution. (a) Construct an 80% confidence interval about u if the sample size, n, is 21. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.) (b) Construct an 80% confidence interval about µ if the sample size, n, is 12. Lower bound: Upper bound: (Use ascending order. Round to one decimal place as needed.)
How does decreasing the sample size affect the margin of error, E? O A. As the sample size decreases, the margin of error stays the same. O B. As the sample size decreases, the margin of error decreases. O C. As the sample size decreases, the margin of error increases. (c) Construct a 70% confidence interval about p if the sample size, n, is 21. Lower bound: Upper bound: (Use ascending order. Round to one decimal place as needed.)
Transcribed Image Text:How does decreasing the sample size affect the margin of error, E? O A. As the sample size decreases, the margin of error stays the same. O B. As the sample size decreases, the margin of error decreases. O C. As the sample size decreases, the margin of error increases. (c) Construct a 70% confidence interval about p if the sample size, n, is 21. Lower bound: Upper bound: (Use ascending order. Round to one decimal place as needed.)
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