Question

A quality analyst wants to construct a control chart for determining whether three machines, all producing...

A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are in control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results:

Machine Measurements

1 17 15 15 17

2 16 25 18 25

3 23 24 23 22

What is the estimate of the mean of the sampling distribution for the sample mean?

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Answer #1

Answer: Mean of sampling distribution= 1.540

Explanation:

sample 1 2 3 4
1 17 15 15 17
2 16 25 18 25
3 23 24 23 22
X-bar (Mean)= Average of samples 18.67 21.33 18.67 21.33

Sample standard deviation= STDEV.S(Xbar values) = 1.540

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