Use the Wilcoxon Rank Sum Test on the Data Below

question 54

Essay

Use the Wilcoxon rank sum test on the data below to determine at the 10% significance level whether the two population locations differ. $$\begin{array} { | l | r | r | r | r | r | r | r | r | r | r | } \hline \text { Sample 1: } & 15 & 14 & 15 & 16 & 16 & 17 & 13 & 15 & 16 & 14 \\\hline \text { Sample 2: } & 17 & 15 & 15 & 16 & 18 & 15 & 17 & 17 & 15 & 18 \\\hline\end{array}$$

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Definitions:

Mann-Whitney Test

A non-parametric test used to evaluate whether two independent samples are drawn from the same distribution or differ significantly.

Nonparametric Test

A type of statistical test that does not assume a specific distribution for the data, often used when data doesn't meet the assumptions required for parametric tests.

Normally Distributed

Describes a probability distribution that is symmetrical around its mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Abnormally Distributed

Indicative of a probability distribution that does not follow a normal distribution pattern, potentially skewed or featuring heavy tails.