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Instruction 12-4
the Managers of a Brokerage Firm Are Interested

question 122

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Instruction 12-4
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.
 BrokerClients Sales 127522113734264433555152961534725588365992844103048111731122238\begin{array}{ccc}\text { Broker}&\text {Clients }&\text {Sales }\\\hline1 & 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 Instruction 12-4,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 ________ (rejected or not rejected).


Definitions:

Urban Populations

The segment of the total population living in areas classified as urban, often characterized by higher density of human structures and services compared to rural areas.

Rural Populations

Communities or groups of individuals living in areas characterized by low population density and geographic distance from urban centers.

Alienation

A condition of feeling isolated, disconnected, or estranged from others or from society as a whole.

Modernization

A process of social and cultural change that is initiated by industrialization and followed by increased social differentiation and division of labor.

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