Question

In: Statistics and Probability

A grinding machine in an auto-parts factory prepares axles with a target diameter of μ =...

A grinding machine in an auto-parts factory prepares axles with a target diameter of μ = 40.33 millimeters (mm). The machine has some variability, so the standard deviation of the diameters is σ = 0.006 millimeter. The machine operator inspects a random sample of 9 axles each hour for quality-control purposes and records the sample mean diameter x .

Calculate the mean and standard deviation of the sampling distribution of x .

___________________________

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Please help!

Expert Solution

Solution :

Given that ,

mean = = 40.33

standard deviation = = 0.006

n = 9

sample distribution of sample mean is ,

=

= 40.33

sampling distribution of standard deviation

= / n = 0.006 / 9

= 0.002

orchestra answered 2 years ago

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