A Manufacturer Embarking on a Six Sigma Program Sets the Goal

question 32

Multiple Choice

A manufacturer embarking on a Six Sigma program sets the goal of having True Six Sigma capability for all processes by the end of the month. If their current process capability index on a key metric is less than 2.0 and the process capability ratio is 1.5, what must happen with the process standard deviation?

• A) The process standard deviation must be reduced by 25%.
• B) The process standard deviation must be reduced by 33%.
• C) The process standard deviation must be reduced by 50%.
• D) The process standard deviation must be reduced by 67%.

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Definitions:

Null Hypothesis

An initial statement asserting that there is no effect or no difference, and any observed deviation is due to chance.

Alternative Hypotheses

The hypothesis that proposes a different conclusion from the null hypothesis, often suggesting a new effect or relationship.

Population Means

The average value of a particular characteristic across all members of a population, often denoted by μ.

Z-test

A Z-test is a statistical test used to determine whether two population means are different when the variances are known and the sample size is large.