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Mathematics, 03.12.2019 05:40

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. it is discovered that the mean of the sample used to compute the confidence bound is x⎯⎯⎯ = 3.40. is it possible to determine whether p < 0.01? explain. round the test statistic to two decimal places and the answer to four decimal places.

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