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Mean and Range Charts

Mean and Range Charts - acceptable/unacceptable þ...

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1 Mean and Range Charts (a) These sampling distributions result in the charts below (Sampling mean is shifting upward but range is consistent) R-chart (R-chart does not detect change in mean) UCL LCL x-chart (x-chart detects shift in central tendency) UCL LCL

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2 Mean and Range Charts R-chart (R-chart detects increase in dispersion) UCL LCL (b) These sampling distributions result in the charts below (Sampling mean is constant but dispersion is increasing) x-chart (x-chart does not detect the increase in dispersion) UCL LCL
3 Control Charts for Attributes þ For variables that are categorical þ Good/bad, yes/no,

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Unformatted text preview: acceptable/unacceptable þ Measurement is typically counting defectives þ Charts may measure þ Percent defective (p-chart) þ Number of defects (c-chart) 4 Control Limits for p-Charts Population will be a binomial distribution, but applying the Central Limit Theorem allows us to assume a normal distribution for the sample statistics UCL p = p + z σ p ^ LCL p = p - z σ p ^ p = mean fraction defective in the sample z = number of standard deviations σ p = standard deviation of the sampling distribution n = sample size ^ p (1 -p ) n σ p = ^...
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