A certain type of stainless steel powder is supposed to have a mean particle diameter of 15 μm. A random sample of 89 particles had a mean diameter of 15.2 μm with a standard deviation of 1.8 μm. A test is made of H 0 : μ = 15 versus H 1 : μ ≠ 15. Is the following statement True or False? If the p-value calculated is not a small probability, then it is plausible that the mean particle diameter is 15 μm.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A certain type of stainless steel powder is supposed to have a mean particle diameter of 15 μm. A random sample of 89 particles had a mean diameter of 15.2 μm with a standard deviation of 1.8 μm. A test is made of H 0 : μ = 15 versus H 1 : μ ≠ 15. Is the following statement True or False? If the p-value calculated is not a small probability, then it is plausible that the mean particle diameter is 15 μm.

 
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