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

question 24

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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.  Broker ClientsSales 127522113734264433555152961534725588365992844103048111731122238\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, suppose the managers of the brokerage firm want to construct n a99% prediction interval for the sales made by a broker who has brought into the firm 18 new clients.The t critical value they would use is .


Definitions:

Fair Market Value

The estimated price at which an asset would trade in a competitive auction setting, reflecting its true market worth.

Revenue

The total amount of income generated by the sale of goods or services related to the company's primary operations.

Noncompete Clauses

are contractual agreements that restrict one party from engaging in similar business or trade in competition against another party.

Anti-Trust Laws

Legislation aimed at promoting competition and preventing monopolies by regulating anti-competitive practices.

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