# Process Capability Studies

## Transcribed Text

Process Capability Studies A) The following sample of 100 data points were recorded 17.4756 Process specification 18.82223 minimum 13.00 21.92634 maximum 25.00 17.97073 20.54152 20.49999 18.40818 19.46783 Cp 21.3217 18.66336 Cpk 20.70529 17.4756 21.81971 19.02305 20.74884 22.60156 20.47563 22.10964 17.99704 20.64476 23.38707 20.75003 Cp 21.00395 20.30958 Cpk 17.7231 21.73213 Capable? 20.8839 Why? 20.41096 18.29672 18.6272 19.1853 Adjustment needed? 20.45373 Why? 17.87086 19.91606 21.18492 17.4756 19.7353 15.40457 21.73343 21.74631 22.81603 21.21508 21.60749 20.50941 23.29917 18.90474 B) Crunchy Potato Chip plant sells packaged chips with a printed net weight of 840 grams. Their packaging specification limits are +/- 10 grams of this published fill weight. Currently the process is running at a mean of 847 grams with a standard deviation of 1.59 grams. The firm requires a process capability ratio of at least 1.33 to be deemed "capable." Is the process capable? Is an adjustment needed? Calculate the process capability indices, Cp and Cpk (make sure to use formulas to calculate the answer, never type a literal answer in Excel) 13.92769 17.19958 21.04488 19.08356 20.83146 15.71785 19.52822 18.40047 19.35686 19.94112 24.50972 15.59674 21.81675 20.71733 17.09537 21.76801 17.4756 16.23781 18.48863 22.0901 18.36035 21.05628 20.64124 20.82384 23.97109 16.91455 21.72538 19.84389 21.82598 22.16228 20.34281 19.16011 20.03715 19.12635 19.72404 20.10022 20.22358 19.48663 19.02672 21.68332 23.90353 18.684 20.88803 18.59122 17.78304 19.38683 20.95809 21.04624 23.90938 19.75657 19.63543 21.33571 17.67707 23.79694 Upper tolerance limit Upper limit - mean Lower tolerance limit Mean - lower limit Observed mean Upper limit term Observed standard deviation Lower limit term Process capability index Upper tolerance limit Upper limit - mean Lower tolerance limit Mean - lower limit Observed mean Upper limit term Observed standard deviation Lower limit term Process capability index B) Crunchy Potato Chip plant sells packaged chips with a printed net weight of 840 grams. Their packaging specification limits are +/- 10 grams of this published fill weight. Currently the process is running at a mean of 847 grams with a standard deviation of 1.59 grams. The firm requires a process capability ratio of at least 1.33 to be deemed "capable." Is the process capable? Is an adjustment needed?

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