Question

Problem 6S-19 In an article in Quality Engineering, a research article presented individual measurement data on sand compactibility, as follows: 39 40 44 40 36 35 35 44 37 39 45 41 41 36 40 39 43 45 44 45 39 37 44 36 44 42 35 41 44 36 37 44 43 43 43 39 44 41 37 For this data, the author reported that the lower and upper specifications for sand compactibility are 35 and 45, respectively. Use the above information to calculate the Cp and Cpk values. (Do not round intermediate calculations. Round your answers to 3 decimal places.) Cp Cpk References Worksheet Difficulty: hard Learning Objective: 06S-01 Apply quality management tools for problem solving. Problem 6S-19

Answer 1

Sample mean = sum total of individual variables divided by the total number of variables = 40.43

Standard deviation = Square root of co-variance = 3.28
Where, Co-variance is the sum total of the square of the difference of individual item with its sample mean divided by the total number of variables.

Cp = 0.508

Cpk = 0.464