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

question 35

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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 number of new customers brought in had a positive impact on the amount of sales generated.The p-value of the test is ________.

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Definitions:

Indifference Curves

Graphical representations of combinations of two goods between which a consumer is indifferent, showcasing the consumer's preferences.

Price of X

The specific cost associated with purchasing a particular good or service, referred to as "X."

Demand for Y

The desire and willingness of consumers to purchase a specific quantity of a good 'Y' at various prices during a certain period.

Utility Function

A mathematical representation of how a consumer ranks different bundles of goods based on the level of satisfaction (utility) they provide.

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