The specification limits for the weight of a part is 23.1 ± 2.4 grams.A manager collected a random sample of 40 units of the part from a metal stamping process.The sample average is 22.825 grams and the sample standard deviation is 1.375 grams.
a. What is the value of $ C_{p} $ for this product?
b. What is the value of $ C_{p k} $ for this product?
c. What does the difference between the values of $ C_{p} $ and $ C_{p k} $ tell you?

Question

The specification limits for the weight of a part is 23.1 ± 2.4 grams.A manager collected a random sample of 40 units of the part from a metal stamping process.The sample average is 22.825 grams and the sample standard deviation is 1.375 grams. 
a. What is the value of $ C_{p} $ for this product?
b. What is the value of $ C_{p k} $ for this product?
c. What does the difference between the values of $ C_{p} $ and $ C_{p k} $ tell you?

Quizplus · Accepted Answer

The Answer of The specification limits for the weight of a part is 23.1 ± 2.4 grams.A manager collected a random sample of 40 units of the part from a metal stamping process.The sample average is 22.825 grams and the sample standard deviation is 1.375 grams. 
a. What is the value of $ C_{p} $ for this product?
b. What is the value of $ C_{p k} $ for this product?
c. What does the difference between the values of $ C_{p} $ and $ C_{p k} $ tell you?

The Specification Limits for the Weight of a Part Is Cp C_{p} Cp​

The Specification Limits for the Weight of a Part Is $C_{p}$