4. 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...

Extracted text: 4. 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 = 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 willing to reject the null hypothesis? (P-value) c. If the acceptance region is defined as 3532.11 <>< 3567.89="" i.="" find="" type="" i="" error="" probability.="" ii.="" find="" the="" power="" if="" the="" true="" mean="" is="" u="">