A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 104, and the sample standard deviation, s, is found to be 8. (a) Construct a 95% confidence interval about u if the sample size, n, is 22. (b) Construct a 95% confidence interval about u if the sample size, n, is 16. (c) Construct a 90% confidence interval about u if the sample size, n, is 22. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? (a) Construct a 95% confidence interval about u if the sample size, n, is 22. Lower bound: ; Upper bound: (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 104, and the sample standard deviation, s, is found to be 8. (a) Construct a 95% confidence interval about u if the sample size, n, is 22. (b) Construct a 95% confidence interval about u if the sample size, n, is 16. (c) Construct a 90% confidence interval about u if the sample size, n, is 22. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? (a) Construct a 95% confidence interval about u if the sample size, n, is 22. Lower bound: ; Upper bound: (Round to one decimal place as needed.)
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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![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 104, and the sample standard deviation, \( s \), is found to be 8.
(a) Construct a 95% confidence interval about \( \mu \) if the sample size, \( n \), is 22.
(b) Construct a 95% confidence interval about \( \mu \) if the sample size, \( n \), is 16.
(c) Construct a 90% confidence interval about \( \mu \) if the sample size, \( n \), is 22.
(d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed?
---
(a) Construct a 95% confidence interval about \( \mu \) if the sample size, \( n \), is 22.
- Lower bound: \[ \boxed{} \]
- Upper bound: \[ \boxed{} \]
(Round to one decimal place as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca98936e-33c7-4402-95ae-aeafe8e3f8b8%2Fa809dc32-3697-439a-a007-f9502bcaa575%2Fjd9fgts_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 104, and the sample standard deviation, \( s \), is found to be 8.
(a) Construct a 95% confidence interval about \( \mu \) if the sample size, \( n \), is 22.
(b) Construct a 95% confidence interval about \( \mu \) if the sample size, \( n \), is 16.
(c) Construct a 90% confidence interval about \( \mu \) if the sample size, \( n \), is 22.
(d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed?
---
(a) Construct a 95% confidence interval about \( \mu \) if the sample size, \( n \), is 22.
- Lower bound: \[ \boxed{} \]
- Upper bound: \[ \boxed{} \]
(Round to one decimal place as needed.)
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