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An article gave the following summary information for fracture strengths (MPa) of n = 196 ceramic bars fired in a particular kiln: x = 47.78, s = 3.85. (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.) 47.23 ✔ ✔) MPa 48.32 Does it appear that true average fracture strength has been precisely estimated? 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 3 MPa. Based on this supposition, how large a sample would have been required to estimate to within 0.5 MPa with 95% confidence X ceramic bars. 138

An article gave the following summary information for fracture strengths (MPa) of n = 196 ceramic bars fired in a particular kiln: x = 47.78, s = 3.85. (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.) 47.23 ✔ ✔) MPa 48.32 Does it appear that true average fracture strength has been precisely estimated? 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 3 MPa. Based on this supposition, how large a sample would have been required to estimate to within 0.5 MPa with 95% confidence X ceramic bars. 138

MATLAB: An Introduction with Applications
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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An article gave the following summary information for fracture strengths (MPa) of n = 196 ceramic bars fired in a particular kiln: x = 47.78, s = 3.85. (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 47.23 48.32 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 3 MPa. Based on this supposition, how large a sample would have been required to estimate u to within 0.5 MPa with 95% confidence? 138 X 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 = 47.78, s = 3.85. (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 47.23 48.32 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 3 MPa. Based on this supposition, how large a sample would have been required to estimate u to within 0.5 MPa with 95% confidence? 138 X ceramic bars
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