A grinding machine in an auto parts plant prepares axles with a target diameter = 40.125
Question:
A grinding machine in an auto parts plant prepares axles with a target diameter μ = 40.125 millimeters (mm). The machine has some variability, so the standard deviation of the diameters is σ = 0.002 mm. The machine operator inspects a random sample of 4 axles each hour for quality control purposes and records the sample mean diameter x̅. Assume the machine is working properly.
a. Identify the mean of the sampling distribution of x̅.
b. Calculate and interpret the standard deviation of the sampling distribution of x̅. Verify that the 10% condition is met.
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a The mean of the sampling distribution of x is 40125 mm b The standard deviation ...View the full answer
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