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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.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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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