TABLE 13-4
the Managers of a Brokerage Firm Are Interested

question 128

Short Answer

TABLE 13-4
The managers of a brokerage firm are interested in finding out if the number of new clients a broker brings into the firm affects the sales generated by the broker. They sample 12 brokers and determine the number of new clients they have enrolled in the last year and their sales amounts in thousands of dollars. These data are presented in the table that follows.
$\begin{array}{lll}\text { Broker } & \text { Cliente } & \text { Sales } \\1 & 27 & 52 \\2 & 11 & 37 \\3 & 42 & 64 \\4 & 33 & 55 \\5 & 15 & 29 \\6 & 15 & 34 \\7 & 25 & 58 \\8 & 36 & 59 \\9 & 28 & 44 \\10 & 30 & 48 \\11 & 17 & 31 \\12 & 22 & 38\end{array}$

-Referring to Table 13-4, the managers of the brokerage firm wanted to test the hypothesis that the true slope was equal to 0. At a level of significance of 0.01, the null hypothesis should be_____ (accepted or rejected).

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Definitions:

Wilcoxon Rank Sum Test

A non-parametric statistical test used to compare two independent samples to assess if their population mean ranks differ.

Non-Normality

A situation where a data set does not follow a normal distribution, affecting the choice of statistical methods for analysis.

Rank Sum Statistic

A statistical measure used in non-parametric tests to evaluate the significance of the difference between two independent samples based on ranks of the data.

Sample Size

The number of subjects or observations included in a study or experiment, which can affect the validity and reliability of statistical analyses.