A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean is = 820 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 u with 99% confidence. (Round your answers to 3 decimal places.) The 99% confidence interval is from to (b) Construct an interval estimate of u with 99% confidence, assuming that s= 50. (Round your answers to 3 decimal places.) The 99% confidence interval is from (c) Construct an interval estimate of u with 99% confidence, assuming that s = 100. (Round your answers to 3 decimal places.) The 99% confidence interval is from to (d) Describe how the confidence interval changes as s increases. O The interval stays the same as s increases. es O The interval gets wider as s increases. O The interval gets narrower as s increases.
A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean is = 820 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 u with 99% confidence. (Round your answers to 3 decimal places.) The 99% confidence interval is from to (b) Construct an interval estimate of u with 99% confidence, assuming that s= 50. (Round your answers to 3 decimal places.) The 99% confidence interval is from (c) Construct an interval estimate of u with 99% confidence, assuming that s = 100. (Round your answers to 3 decimal places.) The 99% confidence interval is from to (d) Describe how the confidence interval changes as s increases. O The interval stays the same as s increases. es O The interval gets wider as s increases. O The interval gets narrower as s increases.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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![**Chapter 8 Homework: Confidence Intervals**
A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean is \( \bar{x} = 820 \) 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 99% confidence. (Round your answers to 3 decimal places.)
The 99% confidence interval is from [______] to [______].
(b) Construct an interval estimate of \( \mu \) with 99% confidence, assuming that \( s = 50 \). (Round your answers to 3 decimal places.)
The 99% confidence interval is from [______] to [______].
(c) Construct an interval estimate of \( \mu \) with 99% confidence, assuming that \( s = 100 \). (Round your answers to 3 decimal places.)
The 99% 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.
**Please refer to Appendix D for the values of Student's t needed to complete the calculations.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c7c255b-9578-426a-91b4-938323176667%2Fc7e409af-abfd-4417-ae00-693cd518d0ff%2Fs07vrfh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Chapter 8 Homework: Confidence Intervals**
A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean is \( \bar{x} = 820 \) 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 99% confidence. (Round your answers to 3 decimal places.)
The 99% confidence interval is from [______] to [______].
(b) Construct an interval estimate of \( \mu \) with 99% confidence, assuming that \( s = 50 \). (Round your answers to 3 decimal places.)
The 99% confidence interval is from [______] to [______].
(c) Construct an interval estimate of \( \mu \) with 99% confidence, assuming that \( s = 100 \). (Round your answers to 3 decimal places.)
The 99% 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.
**Please refer to Appendix D for the values of Student's t needed to complete the calculations.**
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