Six Sigma Black Belt Certified Practice Exam

Question: 1 / 400

A black belt would use non-parametric statistical methods when?

Knowledge of the underlying distribution of the population is limited

The choice of using non-parametric statistical methods is often based on the understanding of the underlying distribution of the population. Non-parametric methods are particularly useful when the assumption of a specific distribution, such as the normal distribution, cannot be confidently made due to limited knowledge about the population or when the data does not meet these assumptions.

When working with non-parametric statistics, analysts do not rely on parameters (like the mean and standard deviation) that assume a particular distribution. Instead, these methods focus on the ranks or orders of data, making them robust to outliers and applicable to a wider variety of data types. For instance, they can handle skewed distributions or small sample sizes effectively.

Knowledge about the underlying distribution is essential in deciding the appropriate analysis technique. If that knowledge is limited, non-parametric methods provide a flexible alternative that allows for meaningful analysis without strict distributional assumptions. This versatility makes them especially applicable in scenarios encountered in Six Sigma projects where data can be varied and complex, and where assumptions typical of parametric tests may not be valid.

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The measurement scale is either nominal or ordinal

The statistical estimation is required to have higher assurance

Management requires substantial statistical analysis prior to implementing

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