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A Certain Manufacturer Is Interested in Evaluating Two Alternative Manufacturing

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A certain manufacturer is interested in evaluating two alternative manufacturing plans consisting of different machine layouts. Because of union rules, hours of operation vary greatly for this particular manufacturer from one day to the next. Twenty-eight random working days were selected and each plan was monitored and the number of items produced each day was recorded. Some of the collected data is shown below:  DAY  PLAN 1 OUTPUT  PLAN 2 OUTPUT 11234 units 1311 units 21355 units 1366 units 31300 units 1289 units \begin{array}{c|c|c}\text { DAY } & \text { PLAN 1 OUTPUT } & \text { PLAN 2 OUTPUT } \\\hline 1 & 1234 \text { units } & 1311 \text { units } \\2 & 1355 \text { units } & 1366 \text { units } \\3 & 1300 \text { units } & 1289 \text { units } \\\downarrow & \downarrow & \downarrow\end{array}

It was desired to test to determine if the distribution of output for plan 2 was shifted to the right of the distribution of output for plan 1 . What type of nonparametric analysis should be used?
A) The Sign Test
B) The Wilcoxon Rank Sum Test
C) The Wilcoxon Signed Rank Test
D) The Kruskal-Wallis H\mathrm { H } -Test
E) The Friedman Fr\mathrm { F } _ { \mathrm { r } } -Test

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Definitions:

Financing Cash Flow

Cash flow that is related to the financing of a company's operations, including debt, equity, and dividends.

Common Stock

A form of financial security that denotes part ownership in a company and entails a stake in the company's earnings or deficits.

Separate Entity Assumption

An accounting principle that treats a company as an independent entity separate from its owners for reporting purposes.

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