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An engineer who is studying the tensile strength of a steel alloy intended for u...

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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 standard deviation 60 psi. A random sample of 12 specimens has a mean tensile strength of `bar x \=3450` psi. Test the hypothesis that mean strength is 3500 psi. Use `\alpha \=0.01`. Let `z_0.005\=2.58`; `z_0.1\=1.29`.
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