Question: Strength of epoxy-repaired timber. Shear block tests on epoxy-repaired timber indicate that the probability distribution of the bond strengths of parallel-grain, mill lumber specimens has a mean of 1,312 pounds per square inch (psi) and a standard deviation of 422 psi. Suppose a sample of 100 epoxy-repaired timber specimens is randomly selected and the bond strength of each is determined.

a. Describe the sampling distribution of \[\overline{Y}\], the mean bond strength of the sample of 100 epoxy-repaired timber specimens.

b. Compute \[P(\overline{Y}\ge 1,418).\]

c. If the actual sample mean is computed to be \[\overline{Y}\] =1,418 what would you infer about the shear block test results?