. 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 = 3450 psi. Calculate the critical value and z-value of the sample mean and test the hypothesis that the mean strength is 3500 psi. Use α = 0.01.

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5. 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 = 3450 psi. Calculate the critical value
and z-value of the sample mean and test the hypothesis that the mean strength is 3500 psi. Use α
= 0.01.

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