2.A tensile strength of fiber used in a cloth manufacturing process is of interest to the purchaser. Previous experience indicated that the standard deviation of tensile strength is 2 psi. A random sample of eight fiber specimens is selected and the average tensile strength was found to 127 psi. (a) Test the hypothesis that the mean tensile strength equal 125 psi versus the alternative hypothesis that the mean exceeds 125 psi at a level of significance of 0.05. (b) What is the P-value of this test? (c) Why do you think that one sided alternative is better in this case?

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