A certain kind of stainless steel powder is supposed to have the mean particle diameter of μ = 15 μm. A random sample of 87 particles had the mean diameter of 15.2 μm, with standard deviation of 1.8 μm. A test is made of H0: μ = 15 versus H1: μ 15.
A.) Determine the P-value
B.) Do you consider it is probable that the mean diameter is 15 μm, or are you convinced that its differs from 15 μm? Clarify your reasoning