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A Researcher Wants to Determine Whether the Means of Two \quad

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A researcher wants to determine whether the means of two independent populations are the same.She has two independent random samples, one from each population, shown in the following table: \quad \quad \quad \quad Sample I \quad \quad \quad \quad \quad \quad \quad Sample II
11.515.722.822.512.613.817.510.713.512.425.316.125.114.811.814.710.812.7\begin{array}{llll|lllll}\hline 11.5 & 15.7 & 22.8 & 22.5 & 12.6 & 13.8 & 17.5 & 10.7 & 13.5 \\12.4 & 25.3 & 16.1 & 25.1 & 14.8 & 11.8 & 14.7 & 10.8 & 12.7\end{array}

She uses the Mann-Whitney U test and a significance level of 0.05.This is a ______ test, and the critical ______.


Definitions:

Market Price

The current price at which a good or service can be bought or sold in an open and competitive market.

Purely Competitive Market

A market structure characterized by a large number of buyers and sellers, homogeneous products, and free entry and exit, leading to price taking behavior.

Purely Competitive Firm

A company operating in a market where there are many buyers and sellers offering homogeneous products, leading to the inability to influence market price.

Total Revenue

The total income received by a firm from the sale of its goods or services.

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