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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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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.
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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