A Firm Has an Existing Process That It Would Like

question 18

Multiple Choice

A firm has an existing process that it would like to use for producing a part it will sell to an industrial customer.The customer requires that defective (out of specification) parts be kept to 3,000 parts per million (three-tenths of 1 percent) or less.A process capability study done on the process revealed that it has a process capability index (C_pk) of 1.00 for this part.What should the firm conclude from the study?

• A)The process is not capable,but with careful process control,it could be used to meet the customer's requirements.
• B)The process is highly capable,and when operating in control,a very high percentage of output will meet the customer's requirements.
• C)The process is not capable,and even with careful control,it will not be able to meet the customer's requirements.
• D)The process is capable,but just barely,and will require careful monitoring in order to meet customer requirements.

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Definitions:

Variance

A measure of the dispersion or spread of a set of data points, reflecting how much the data points differ from the mean.

Binomial Experiment

A statistical experiment that fits the binomial distribution; characterized by having a fixed number of trials, distinct outcomes (success or failure), independence, and constant probability of success.

Variance

A measure of the dispersion or spread of a set of values, indicating how much they differ from the average of the set.

Sample Size

The number of observations or data points collected in a sample from a population for analysis.