1. 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 Ho: 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?

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