A random sample of 25 items is drawn from a population whose standard deviation is unknown. The sample mean is = 850 and the sample standard deviation is s= 15. Use Appendix D to find the values of Student's t. (a) Construct an interval estimate of u with 95% confidence. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (b) Construct an interval estimate of u with 95% confidence, assuming that s 30. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (c) Construct an interval estimate of u with 95% confidence, assuming that s= 60. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (d) Describe how the confidence interval changes as s increases.
A random sample of 25 items is drawn from a population whose standard deviation is unknown. The sample mean is = 850 and the sample standard deviation is s= 15. Use Appendix D to find the values of Student's t. (a) Construct an interval estimate of u with 95% confidence. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (b) Construct an interval estimate of u with 95% confidence, assuming that s 30. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (c) Construct an interval estimate of u with 95% confidence, assuming that s= 60. (Round your answers to 3 decimal places.) The 95% confidence interval is from to (d) Describe how the confidence interval changes as s increases.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![A random sample of 25 items is drawn from a population whose standard deviation is unknown. The sample mean is \( \bar{x} = 850 \) and the sample standard deviation is \( s = 15 \). 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 \( s = 30 \). **(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 \( s = 60 \). **(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.
- ○ 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%2F4e4c4622-febe-4261-b6cb-1f0d081ba2d3%2Ff245c5cf-a2e3-40d3-be05-52dd44528e2b%2Fom7h1s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A random sample of 25 items is drawn from a population whose standard deviation is unknown. The sample mean is \( \bar{x} = 850 \) and the sample standard deviation is \( s = 15 \). 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 \( s = 30 \). **(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 \( s = 60 \). **(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.
- ○ The interval gets wider as \( s \) increases.
- ○ The interval gets narrower as \( s \) increases.
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