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Question: 1 / 400

A customer requires a Cp≥ 1.33 for a specification of 15.5 ± 2.0. If the supplier's process has a mean of 15.0 and a standard deviation of 0.5, which of the following describes the process capability?

Acceptable Meets specifications

To determine process capability in relation to the customer's requirements, we first calculate the process capability index (Cp). The formula for Cp is:

Cp = (USL - LSL) / (6 * σ)

Where:

- USL (Upper Specification Limit) = 15.5 + 2.0 = 17.5

- LSL (Lower Specification Limit) = 15.5 - 2.0 = 13.5

- σ (standard deviation) = 0.5

Now, substituting these values into the formula, we get:

Cp = (17.5 - 13.5) / (6 * 0.5)

= 4.0 / 3.0

= 1.33

Since the calculated Cp of 1.33 meets the customer’s requirement of Cp ≥ 1.33, the process is capable of producing within specifications. Additionally, we should check if the process mean (15.0) falls within the specification limits of 13.5 and 17.5, which it does.

Thus, the process is considered acceptable and meets the specifications, leading to the conclusion that the correct choice is the one that states the process capability

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Acceptable Does not meet specifications

Not acceptable Meets specifications

Not acceptable Does not meet specifications

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