Concept explainers
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.
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