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

question 128

Short Answer

SCENARIO 12-4
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. $\begin{array}{lll}\text { Broker } & \text {Clients} & \text {Sales }\\1 & 27 & 52 \\2 & 11 & 37 \\3 & 42 & 64 \\4 & 33 & 55 \\5 & 15 & 29 \\6 & 15 & 34 \\7 & 25 & 58 \\8 & 36 & 59 \\9 & 28 & 44 \\10 & 30 & 48 \\11 & 17 & 31 \\12 & 22 & 38\end{array}$
-Referring to Scenario 12-4, the managers of the brokerage firm wanted to test the hypothesis that the population slope was equal to 0.At a level of significance of 0.01, the null hypothesis should be (rejected or not rejected).

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Definitions:

Vertical Axis

The vertical number line of a graph along which values of the y-variable are measured; also referred to as the y-axis.

Linear Relationship

The relationship between two variables in which the slope is constant and therefore is depicted on a graph by a curve that is a straight line.

Quantity Supplied

The total amount of a good or service that producers are willing and able to sell at a particular price over a specified period.

Quantity Demanded

The overall volume of a good or service that buyers are eager and capable of acquiring at a certain price within a specific period.