A random sample of 160 items is drawn from a population whose standard deviation is known to be σ = 30. The sample mean is  x⎯⎯x¯ = 800. (a) Construct an interval estimate for μ with 95 percent confidence. (Round your answers to 1 decimal place.)  The 95% confidence interval is from _______ to  ________ (b) Construct an interval estimate for μ with 95 percent confidence, assuming that σ = 60. (Round your answers to 1 decimal place.)  The 95% confidence interval is from _______ to  ________ (c) Construct an interval estimate for μ with 95 percent confidence, assuming that σ = 120. (Round your answers to 1 decimal place.)  The 95% confidence interval is from ________ to  ________ (d) Describe how the confidence interval changes as σ increases.   The interval stays the same as σ increases. The interval gets wider as σ increases. The interval gets narrower as σ increases. The interval gets wider as σ decreases.

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 160 items is drawn from a population whose standard deviation is known to be σ = 30. The sample mean is  x⎯⎯x¯ = 800.
 
(a) Construct an interval estimate for μ with 95 percent confidence. (Round your answers to 1 decimal place.)
  
The 95% confidence interval is from _______ to  ________
 
(b) Construct an interval estimate for μ with 95 percent confidence, assuming that σ = 60. (Round your answers to 1 decimal place.)
  
The 95% confidence interval is from _______ to  ________
 
(c) Construct an interval estimate for μ with 95 percent confidence, assuming that σ = 120. (Round your answers to 1 decimal place.)
  
The 95% confidence interval is from ________ to  ________
 
(d) Describe how the confidence interval changes as σ increases.
  

  • The interval stays the same as σ increases.
  • The interval gets wider as σ increases.
  • The interval gets narrower as σ increases.
  • The interval gets wider as σ decreases.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 3 images

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