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 witho = 60 psi. A random sample of 12 specimens has a mean tensile strength of = 3450 psi. (a) If the mean strength is 3500 psi, what is the smallest level of significance at which you would be willing to reject the null hypothesis? Use a = 0.01. Round your answer to four decimal places (e.g. 98.7654). The smallest level of significance = i (b) What is the B-error if the true mean is 3470 and a = 0.01? Round your answer to three decimal places (e.g. 98.765). B = i (c) Suppose that you wanted to reject the null hypothesis with probability at least 0.8 if mean strength u = 3470 psi. What sample size should be used? n = i Save for Later Attempts: 0 of 1 used Submit Answer

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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 I = 3450 psi.
(a) If the mean strength is 3500 psi, what is the smallest level of significance at which you would be willing to reject the null hypothesis?
Use a = 0.01.
Round your answer to four decimal places (e.g. 98.7654).
The smallest level of significance = i
(b) What is the B-error if the true mean is 3470 and a = 0.01?
Round your answer to three decimal places (e.g. 98.765).
B = i
(c) Suppose that you wanted to reject the null hypothesis with probability at least 0.8 if mean strength u = 3470 psi. What sample
size should be used?
i
Save for Later
Attempts: 0 of 1 used
Submit Answer
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 I = 3450 psi. (a) If the mean strength is 3500 psi, what is the smallest level of significance at which you would be willing to reject the null hypothesis? Use a = 0.01. Round your answer to four decimal places (e.g. 98.7654). The smallest level of significance = i (b) What is the B-error if the true mean is 3470 and a = 0.01? Round your answer to three decimal places (e.g. 98.765). B = i (c) Suppose that you wanted to reject the null hypothesis with probability at least 0.8 if mean strength u = 3470 psi. What sample size should be used? i Save for Later Attempts: 0 of 1 used Submit Answer
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