A random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is \( \bar{x} = 920 \) and the sample standard deviation is \( s = 25 \). Use Appendix D to find the values of Student's \( t \). (a) Construct an interval estimate of \( \mu \) with 95% confidence. (Round your answers to 3 decimal places.) The 95% confidence interval is from [_____] to [_____]. (b) Construct an interval estimate of \( \mu \) with 95% confidence, assuming that \( s = 50 \). (Round your answers to 3 decimal places.) The 95% confidence interval is from [_____] to [_____]. (c) Construct an interval estimate of \( \mu \) with 95% confidence, assuming that \( s = 100 \). (Round your answers to 3 decimal places.) The 95% confidence interval is from [_____] to [_____]. (d) Describe how the confidence interval changes as \( s \) increases. - The interval stays the same as \( s \) increases. - (Selected) The interval gets wider as \( s \) increases. - The interval gets narrower as \( s \) increases.
A random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is \( \bar{x} = 920 \) and the sample standard deviation is \( s = 25 \). Use Appendix D to find the values of Student's \( t \). (a) Construct an interval estimate of \( \mu \) with 95% confidence. (Round your answers to 3 decimal places.) The 95% confidence interval is from [_____] to [_____]. (b) Construct an interval estimate of \( \mu \) with 95% confidence, assuming that \( s = 50 \). (Round your answers to 3 decimal places.) The 95% confidence interval is from [_____] to [_____]. (c) Construct an interval estimate of \( \mu \) with 95% confidence, assuming that \( s = 100 \). (Round your answers to 3 decimal places.) The 95% confidence interval is from [_____] to [_____]. (d) Describe how the confidence interval changes as \( s \) increases. - The interval stays the same as \( s \) increases. - (Selected) The interval gets wider as \( s \) increases. - The interval gets narrower as \( s \) increases.
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 random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is \( \bar{x} = 920 \) and the sample standard deviation is \( s = 25 \). Use Appendix D to find the values of Student's \( t \).
(a) Construct an interval estimate of \( \mu \) with 95% confidence. (Round your answers to 3 decimal places.)
The 95% confidence interval is from [_____] to [_____].
(b) Construct an interval estimate of \( \mu \) with 95% confidence, assuming that \( s = 50 \). (Round your answers to 3 decimal places.)
The 95% confidence interval is from [_____] to [_____].
(c) Construct an interval estimate of \( \mu \) with 95% confidence, assuming that \( s = 100 \). (Round your answers to 3 decimal places.)
The 95% confidence interval is from [_____] to [_____].
(d) Describe how the confidence interval changes as \( s \) increases.
- The interval stays the same as \( s \) increases.
- (Selected) The interval gets wider as \( s \) increases.
- The interval gets narrower as \( s \) increases.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6187406f-7589-4840-a3e1-0306c4738877%2F983fc861-91cf-45b0-99dd-35408d3fb5e3%2Fsfcb5yj.jpeg&w=3840&q=75)
Transcribed Image Text:A random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is \( \bar{x} = 920 \) and the sample standard deviation is \( s = 25 \). Use Appendix D to find the values of Student's \( t \).
(a) Construct an interval estimate of \( \mu \) with 95% confidence. (Round your answers to 3 decimal places.)
The 95% confidence interval is from [_____] to [_____].
(b) Construct an interval estimate of \( \mu \) with 95% confidence, assuming that \( s = 50 \). (Round your answers to 3 decimal places.)
The 95% confidence interval is from [_____] to [_____].
(c) Construct an interval estimate of \( \mu \) with 95% confidence, assuming that \( s = 100 \). (Round your answers to 3 decimal places.)
The 95% confidence interval is from [_____] to [_____].
(d) Describe how the confidence interval changes as \( s \) increases.
- The interval stays the same as \( s \) increases.
- (Selected) The interval gets wider as \( s \) increases.
- The interval gets narrower as \( s \) increases.
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