An engineer who is studying the tensile strength of a steel alloy intended for use in

Chapter 9, Problem 9-44

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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 60 psi. A random sample of 12 specimens has a mean tensile strength of psi. (a) Test the hypothesis that mean strength is 3500 psi. Use 0.01. (b) What is the smallest level of significance at which you would be willing to reject the null hypothesis? (c) What is the -error for the test in part (a) if the true mean is 3470? (d) Suppose that we wanted to reject the null hypothesis with probability at least 0.8 if mean strength 3500. What sample size should be used? (e) Explain how you could answer the question in part (a) with a two-sided confidence interval on mean tensile strength.

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