8-3 Homework: Chapter 8 (Sections 8.4 through 8.6)---**6**A random sample of 28 items is drawn from a population whose standard deviation is unknown. The sample mean is $ \bar{x} = 900 $ and the sample standard deviation is $ s = 10 $. Use Appendix D to find the values of Student's t.5 points(a) Construct an interval estimate of $ \mu $ with 98% confidence. (Round your answers to 3 decimal places.)The 98% confidence interval is from [_____ ] to [_____ ](b) Construct an interval estimate of $ \mu $ with 98% confidence, assuming that $ s = 20 $. (Round your answers to 3 decimal places.)The 98% confidence interval is from [_____ ] to [_____ ](c) Construct an interval estimate of $ \mu $ with 98% confidence, assuming that $ s = 40 $. (Round your answers to 3 decimal places.)The 98% 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.

Given: n=28,s=10,x=900,α=1-0.98=0.02

A random sample of 28 items is drawn from a population whose standard deviation is unknown. The sample mean is = 900 and the sample standard deviation is s= 10. Use Appendix D to find the values of Student's t. (a) Construct an interval estimate of u with 98% confidence. (Round your answers to 3 decimal places.) The 98% confidence interval is from to (b) Construct an interval estimate of u with 98% cônfidence, assuming that s = 20. (Round your answers to 3 decimal places.) The 98% confidence interval is from| to (c) Construct an interval estimate of u with 98% confidence, assuming that s = 40. (Round your answers to 3 decimal places.) The 98% confidence interval is from to (d) Describe how the confidence interval changes as s increases. O The interval stays the same as s increases. O The interval gets wider as s increases. O The interval gets narrower as s increases.

A random sample of 28 items is drawn from a population whose standard deviation is unknown. The sample mean is = 900 and the sample standard deviation is s= 10. Use Appendix D to find the values of Student's t. (a) Construct an interval estimate of u with 98% confidence. (Round your answers to 3 decimal places.) The 98% confidence interval is from to (b) Construct an interval estimate of u with 98% cônfidence, assuming that s = 20. (Round your answers to 3 decimal places.) The 98% confidence interval is from| to (c) Construct an interval estimate of u with 98% confidence, assuming that s = 40. (Round your answers to 3 decimal places.) The 98% confidence interval is from to (d) Describe how the confidence interval changes as s increases. O The interval stays the same as s increases. 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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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.

Question

8-3 Homework: Chapter 8 (Sections 8.4 through 8.6)

---

**6**

A random sample of 28 items is drawn from a population whose standard deviation is unknown. The sample mean is $ \bar{x} = 900 $ and the sample standard deviation is $ s = 10 $. Use Appendix D to find the values of Student's t.

5 points

(a) Construct an interval estimate of $ \mu $ with 98% confidence. (Round your answers to 3 decimal places.)

The 98% confidence interval is from [_____ ] to [_____ ]

(b) Construct an interval estimate of $ \mu $ with 98% confidence, assuming that $ s = 20 $. (Round your answers to 3 decimal places.)

The 98% confidence interval is from [_____ ] to [_____ ]

(c) Construct an interval estimate of $ \mu $ with 98% confidence, assuming that $ s = 40 $. (Round your answers to 3 decimal places.)

The 98% 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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