An article gave the following summary information for fracture strengths (MPa) of n - 196 ceramic bars fired in a particular kiln: x- 28.23, s - 3.16. (a) Calculate a (two-sided) confidence interval for true average fracture strength using a confidence level of 95%. (Round your answers to two decimal places.) ) MPa Does it appear that true average fracture strength has been precisely estimated? O Yes, this is a very narrow interval. O No, this is a very wide interval. (b) Suppose the investigators had believed a priori that the population standard deviation was about 6 MPa. Based on this supposition, how large a sample would have been required to estimate u to within 0.5 MPa with 95% confidence? ceramic bars

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
An article gave the following summary information for fracture strengths (MPa) of n = 196 ceramic bars fired in a particular kiln: x = 28.23, s = 3.16.
(a) Calculate a (two-sided) confidence interval for true average fracture strength using a confidence level of 95%. (Round your answers to two decimal places.)
MPа
Does it appear that true average fracture strength has been precisely estimated?
O Yes, this is a very narrow interval.
No, this is a very wide interval.
(b) Suppose the investigators had believed a priori that the population standard deviation was about 6 MPa. Based on this supposition, how large a sample would have been required to estimate u to within 0.5 MPa with 95% confidence?
ceramic bars
Transcribed Image Text:An article gave the following summary information for fracture strengths (MPa) of n = 196 ceramic bars fired in a particular kiln: x = 28.23, s = 3.16. (a) Calculate a (two-sided) confidence interval for true average fracture strength using a confidence level of 95%. (Round your answers to two decimal places.) MPа Does it appear that true average fracture strength has been precisely estimated? O Yes, this is a very narrow interval. No, this is a very wide interval. (b) Suppose the investigators had believed a priori that the population standard deviation was about 6 MPa. Based on this supposition, how large a sample would have been required to estimate u to within 0.5 MPa with 95% confidence? ceramic bars
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 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