Question

If USL=550,LSL=540, process mean =545, and sigma =1.00, the Cp index is 1.67.

a. True
b. False

Answer 1

After calculating the Cp index using the formula (USL - LSL) / (6 * sigma) with the provided values, it's verified that the Cp index is indeed 1.67. Hence, the statement that the Cp index is 1.67 is true.

Step-by-step explanation:

The question asks to determine the validity of the statement that the Cp index is 1.67 given a USL (Upper Specification Limit) of 550, LSL (Lower Specification Limit) of 540, a process mean of 545, and a standard deviation (sigma) of 1.00.

To calculate the Cp index, we use the formula:

Cp = (USL - LSL) / (6 * sigma)

Substituting the given values:

Cp = (550 - 540) / (6 * 1.00)

Cp = 10 / 6

Cp = 1.67

Therefore, the statement is True, and the capability index for this process is indeed 1.67.