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(a) Construct a 90% confidence interval about μ if the sample size, n, is 21. Lower bound:: Upper bound: (Use ascending order. Round to one decimal place as needed.)

(a) Construct a 90% confidence interval about μ if the sample size, n, is 21. Lower bound:: Upper bound: (Use ascending order. Round to one decimal place as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Confidence Interval Example A simple random sample of size *n* is drawn from a population that is normally distributed. The sample mean, \(\bar{x}\), is found to be 105, and the sample standard deviation, *s*, is found to be 10. **Tasks:** (a) Construct a 90% confidence interval about \(\mu\) if the sample size, *n*, is 21. (b) Construct a 90% confidence interval about \(\mu\) if the sample size, *n*, is 14. (c) Construct an 80% confidence interval about \(\mu\) 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? **Instructions:** - Click the icon to view the table of areas under the t-distribution. --- **Example Calculation:** (a) Construct a 90% confidence interval about \(\mu\) if the sample size, *n*, is 21. - Lower bound: [Input required] - Upper bound: [Input required] *(Use ascending order. Round to one decimal place as needed.)*
Transcribed Image Text:### Confidence Interval Example A simple random sample of size *n* is drawn from a population that is normally distributed. The sample mean, \(\bar{x}\), is found to be 105, and the sample standard deviation, *s*, is found to be 10. **Tasks:** (a) Construct a 90% confidence interval about \(\mu\) if the sample size, *n*, is 21. (b) Construct a 90% confidence interval about \(\mu\) if the sample size, *n*, is 14. (c) Construct an 80% confidence interval about \(\mu\) 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? **Instructions:** - Click the icon to view the table of areas under the t-distribution. --- **Example Calculation:** (a) Construct a 90% confidence interval about \(\mu\) if the sample size, *n*, is 21. - Lower bound: [Input required] - Upper bound: [Input required] *(Use ascending order. Round to one decimal place as needed.)*
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