Measurements on the pH values of a chemical compound are taken at random by two operators. Fifteen samples are randomly chosen, with each operator measuring each sample twice. The data are shown in Table 9-10. Specifications on pH are 6.5 ±0.05. Comment on the capability of the measurement system. Calculate % gage R&R, precision-to-tolerance ratio, % of process variation, and number of distinct categories and comment on them. What are the observed process potential and the true process potential? Find a 95% confidence interval for Cp.

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Operator 1's pH Values Operator 2's pH Values Sample Number Measurement I Measurement 2 Measurement 1 Measurement 2 3 8 2 8 2 10 12 13 14 15