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StatisticsQ&A LibraryA certain type of stainless steel powder is supposed to have a mean particle diameter of μ = 15 µm. A random sample of 87 particles had a mean diameter of 15.2 µm, with a standard deviation of 1.8 µm. A test is made of H0: μ = 15 versus H1: μ ≠ 15. a) Find the P-value. b) Do you believe it is plausible that the mean diameter is 15 µm, or are you convinced that it differs from 15 µm? Explain your reasoning.Question

A certain type of stainless steel powder is supposed to have a mean particle diameter of μ = 15 µm. A random sample of 87 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. a) Find the P-value. b) Do you believe it is plausible that the mean diameter is 15 µm, or are you convinced that it differs from 15 µm? Explain your reasoning.

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