The strength of a certain type of rubber is tested by subjecting pieces of the rubber to an abrasion test. For the rubber to be acceptable, the mean weight loss μ must be less than 3.5 mg. A large number of pieces of rubber that were cured in a certain way were subject to the abrasion test. A 95% upper confidence bound for the mean weight loss was computed from these data to be 3.45 mg. Someone suggests using these data to test H0 :μ ≥ 3.5 versus H1 :μ < 3.5.
a. Is it possible to determine from the confidence bound whether P < 0.05? Explain.
b. Is it possible to determine from the confidence bound whether P < 0.01? Explain.