The strength of a certain type of rubber is tested by

Chapter 6, Problem 17E

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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 \(H_{0}: \mu\) ≥ 3.5 versus \(H_{1}: \mu\) < 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.

Equation transcription:

Text transcription:

H_{0}: \mu

H_{1}: \mu

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