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

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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).

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Definitions:

Total Utility

The complete contentment derived from the consumption of a specific amount of a product or service.

Fair Bet

A gamble where the expected value of the potential outcomes is equal, implying that there is no net advantage or disadvantage to participating.

Zero Sum Game

A situation in game theory in which one participant's gains result exactly from losses incurred by other participants.

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