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 σ = 60 psi. A random sample of 12 specimens has a mean tensile strength of x̅=
3250 psi. (a) Test the hypothesis that mean strength is 3500 psi. use α = 0.01. (b)
What is the smallest level of significance at which you would be willing to reject the
null hypothesis? [taken from Montgomery, p. 300]
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