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

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

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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.

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

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