A Company Is Deciding Where to Assign Its Summer Intern

question 34

Essay

A company is deciding where to assign its summer intern. The manager estimates that the intern can save $10,000 in the supply chain or increase sales (revenue) by $25,000. If sales (revenue) is divided into the three categories shown in the table where should the manager assign the intern to maximize profits?
$$\begin{array} { | l | l | l | l | } \hline & \begin{array} { l } \text { Supply Chain } \\\text { costs }\end{array} & \begin{array} { l } \text { Variable Costs } \\\text { (materials) }\end{array} & \text { Profits } \\\hline \% \text { of current } & & & \\\text { sales } \\\text { (revenue) } & 35 & 25 & 40 \\\hline\end{array}$$

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Definitions:

Wilcoxon Rank-sum Test

The Wilcoxon Rank-sum Test is a nonparametric statistical test used to compare two independent samples to determine if they come from the same distribution.

Parametric Statistical Methods

Statistical methods that assume the data follows a particular distribution, typically used for hypothesis testing or estimating population parameters.

Nonparametric Statistical Methods

Statistical techniques that do not assume a specific distribution for the data, making them suitable for analysis of ordinal data or data that doesn't meet assumptions of parametric tests.

Distributional Assumptions

The set of assumptions regarding the underlying distribution of the data, which are critical in choosing the appropriate statistical test and interpreting its results accurately.