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A metal washer fabrication machine makes metal washers with a target diameter of μ = 10.5...

A metal washer fabrication machine makes metal washers with a target diameter of μ = 10.5 millimeters. The machine has some variability, so the standard deviation of the diameters is σ = 0.003 millimeter. The machine operator inspects a random sample of nine washers each hour for quality control purposes and records the sample mean diameter, x̄. Assuming the process is working properly, what are the mean and standard deviation of the sampling distribution of x̄? (4 points)

μx̄ = 10.5, σx̄ = 0.001

μx̄ = 10.5, σx̄ = 0.003

μx̄ = 9, σx̄ = 0.003

μx̄ = 9, σx̄ = 0.001

μx̄ = 10.5, σx̄ = 3

math   Statistics-And-Probability   
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