An engineer who is studying the tensile strength of a steel alloy intended for use in golf club shafts knows that tensile strength is approximately normally distributed with o = 60 psi. A random sample of 12 specimens has a mean tensile %3D strength of X = 3250 psi. (a) Test the hypothesis that mean strength is 3500 psi. %3D Use a= 0.01. (b) What is the smallest level of significance at which you would be willing to reject the null hypothesis? (c) Explain how you could answer the question in part (a) with a two-sided confidence interval on mean tensile strength.
An engineer who is studying the tensile strength of a steel alloy intended for use in golf club shafts knows that tensile strength is approximately normally distributed with o = 60 psi. A random sample of 12 specimens has a mean tensile %3D strength of X = 3250 psi. (a) Test the hypothesis that mean strength is 3500 psi. %3D Use a= 0.01. (b) What is the smallest level of significance at which you would be willing to reject the null hypothesis? (c) Explain how you could answer the question in part (a) with a two-sided confidence interval on mean tensile strength.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:An engineer who is studying the tensile strength of a steel alloy intended for use
in golf club shafts knows that tensile strength is approximately normally
distributed with o = 60 psi. A random sample of 12 specimens has a mean tensile
strength of X = 3250 psi. (a) Test the hypothesis that mean strength is 3500 psi.
Use a= 0.01. (b) What is the smallest level of significance at which you would be
%3D
willing to reject the null hypothesis? (c) Explain how you could answer the
question in part (a) with a two-sided confidence interval on mean tensile
strength.
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