A machine that fills cereal boxes is supposed to be calibrated so that the mean fill weight is 12 oz. Let μ denote the true mean fill weight. Assume that in a test of the hypotheses H0: μ = 12 versus H1: μ ≠ 12, the P-value is 0.30. a) Should H0 be rejected on the basis of this test? Explain. b) Can you conclude that the machine is calibrated to provide a mean fill weight of 12 oz? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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A machine that fills cereal boxes is supposed to be calibrated so that the mean fill weight is 12 oz. Let μ denote the true mean fill weight. Assume that in a test of the hypotheses H0: μ = 12 versus H1: μ ≠ 12, the P-value is 0.30. a) Should H0 be rejected on the basis of this test? Explain. b) Can you conclude that the machine is calibrated to provide a mean fill weight of 12 oz? Explain.

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