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

question 87

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, suppose the managers of the brokerage firm want to construct a 99%confidence interval estimate for the mean sales made by brokers who have brought into the firm24 new clients.The t critical value they would use is _.

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Definitions:

Herfindahl Index

A measure of market concentration, calculated by summing the squares of the market shares of all participants in the market.

Market Shares

The portion of a market controlled by a particular company or product, typically expressed as a percentage of the total market.

Four-Firm Concentration Ratio

An economic measure that assesses the concentration of business within an industry, represented by the combined market share of the four largest firms.

Effective Cartel

An organization of producers that agree to coordinate prices and production to monopolize a market or maximize collective profits.