Normally distributed output: What is true about the mean of
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A process when in control produces a normally distributed output with a mean of 200 and a range of 20. Ten samples of 20 each yield the following means and ranges.
Sample 1 2 3 4 5 6 7 8 9 10
X-Bar 200 202 201 204 203 203 201 201 202 201
Range 19.0 20.0 20.2 20.7 19.0 21.1 19.0 20.1 20.3 21.7
Which of the following is most true concerning the mean of the process?
A. the mean is out of control
B. the mean is in control
C. the probability of this pattern is the process were in control is very high, therefore we infer the process is in control.
D. the probability of this pattern if the process were in control is very low, therefore we infer that the process is out of control.
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