Suppose That You Want to Perform a Hypothesis Test Based

question 35

Essay

Suppose that you want to perform a hypothesis test based on independent simple random samples to compare the means of two populations. Several procedures are available, namely, the pooled t-test, the nonpooled t-test, and the Mann-Whitney test. Give circumstances for which the Mann-Whitney test would be the most appropriate procedure. Be sure to comment on the sizes of the samples, the distributions of the variable under consideration on the populations, and the relative shapes of the distributions.

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Definitions:

Margin of Error

A measure of the range of uncertainty in survey results, indicating how much the survey results may differ from the true population value.

Confidence Interval

A medley of values, from statistical analysis of samples, forecasted to include the value of an unknown population criterion.

Sampling Error

The error that occurs when the sample selected does not perfectly represent the population, leading to inaccuracy in results or conclusions.

Confidence Interval

A range of values derived from sample data that is likely to contain the true population parameter with a certain level of confidence.