2. Assuming your process is in control, use the following information to a. Calc

Question

2. Assuming your process is in control, use the following information to a. Calculate Cp b. Calculate Cpk. c. Interpret these values and discuss the proper use of each. d. What % of the products will be rejected as they are larger than the upper spec limit? e. What % of the products will be rejected as they are smaller than the lower spec limit? If the process average is adjusted to exactly the target value (1800) what % of the products will be outside the USL and LSL f. (Points:10) and hence rejected? Upper Spec Limit: 880 Lower Spec Limit: 720 Target: ybar- (std. deviation)= 800 850 20

Explanation / Answer

According to the given information,

process average is 850 with a standard deviation of 20 and USL and LSL of 880 and 720.

This means Cp = (880-720) / 6 / 20 = 1.333

Cpk = Min((µ-LSL)/3, (USL-µ)/3) =0.5

This would mean practically 0% products larger than USL and almost 100% smaller than LSL. Therefore 100% products would be rejected.

Even if the process average is adjusted to the target value of 1800, there will be 0% products greater than USL and 100% below LSL. And therefore 100% products will be rejected

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