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Compare and contrast the characteristics of parametric and non-parametric test methodologies

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Compare and contrast the characteristics of parametric and non-parametric test methodologies. Give examples of when to use each.

Discuss the role of variance in difference of means hypothesis testing. Is it critical to the result? Why or why not. Why do we care?

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The solution compares and contrasts the characteristics of parametric and non-parametric test methodologies. The role of variance in difference of means hypothesis testing is discussed.

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Often referred to as distribution free statistics, non-parametric statistics are used when the data may not demonstrate the characteristics of normality (i.e. follow a normal distribution).
Non-parametric statistics are used with nominal data, where the response set can be converted to counts of events, ...

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