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Researchers are evaluating the tensile strength ( 1,000 psi) of a new synthetic fiber, which is believed to follow a normal distribution. From a random sample of 15 specimens, the mean tensile strength is found to be 60.2 with a standard deviation of 9.3. Test the hypothesis that the mean tensile strength of the population is 58.0 against the alternative that it is greater than 58.0 at the 0.10 significance level. Is there sufficient evidence to support the claim that the mean tensile strength is greater than 58.0?

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