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

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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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.**

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