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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 normally distributed with σ= 60 psi. A random sample of 12 specimens has a mean tensile strength of X 3450 psi. Test the hypothesis that the mean tensile strength of this steel alloy is 3500 psi against the alternative that the mean tensile strength is not 3500 psi. Conduct your test at the α= .01 level of significance. Clearly indicate the null hypothesis, the alternative hypothesis, the level of significance, the critical region, the test statistic value, and your conclusion in the space below.

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