A random sample of 26 items is drawn from a population whose standard deviation is unknown. The sample mean is 860 and sample standard deviation is s= 20. Use Appendix D to find the values of Student'st (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= 40. (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 = 80. (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
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A random sample of 26 items is drawn from a population whose standard deviation is unknown. The sample mean is \( \bar{x} = 860 \) and the sample standard deviation is \( s = 20 \). 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 \( s = 40 \). (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 \( s = 80 \). (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.

The selected answer is:

- The interval gets wider as \( s \) increases.
Transcribed Image Text:A random sample of 26 items is drawn from a population whose standard deviation is unknown. The sample mean is \( \bar{x} = 860 \) and the sample standard deviation is \( s = 20 \). 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 \( s = 40 \). (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 \( s = 80 \). (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. The selected answer is: - The interval gets wider as \( s \) increases.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman