Instruction 12 -Referring to Instruction 12

question 202

Essay

Instruction 12.28
The managers of a brokerage firm are interested in finding out if the number of new customers a broker brings into the firm affects the sales generated by the broker. They sample 12 brokers and determine the number of new customers they have enrolled in the last year and their sales amounts in thousands of dollars. These data are presented in the table that follows.
$$\begin{array} { | l | l | l | } \hline \text { Broker } & \text { Clients } & \text { 5les } \\\hline 1 & 27 & 52 \\\hline 2 & 11 & 37 \\\hline 3 & 42 & 64 \\\hline 4 & 33 & 55 \\\hline 5 & 15 & 29 \\\hline 6 & 15 & 34 \\\hline 7 & 25 & 58 \\\hline 8 & 36 & 59 \\\hline 9 & 28 & 44 \\\hline 10 & 30 & 48 \\\hline 11 & 17 & 31 \\\hline 12 & 22 & 38 \\\hline\end{array}$$
-Referring to Instruction 12.28,the managers of the brokerage firm wanted to test the hypothesis that the true slope was equal to 0.For a test with a level of significance of 0.01,the null hypothesis should be rejected if the value of the test statistic is ____________.

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Definitions:

Disparate Impact

A concept in U.S. anti-discrimination law where practices in employment, housing, or other areas, although neutral in their wording, disproportionately affect a particular group.

Affirmative Action

Policies and practices designed to increase opportunities for historically disadvantaged groups by factoring in traits such as race, color, gender, religion, or national origin.

Merit Principles

Guidelines that govern the fair and impartial treatment of government employees, focusing on performance and qualifications.

Independent Sector

A term often used to describe the collection of organizations and institutions that operate outside of the government and for-profit sectors, usually encompassing nonprofits and voluntary organizations.