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

question 16

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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.
Broker  Clients Sales127522113734264433555152961534725588365992844103048111731122238\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,suppose the managers of the brokerage firm want to obtain a 99% confidence interval estimate for the mean sales made by brokers who have brought into the firm 24 new customers.The t critical value they would use is ________.


Definitions:

Expansion

The phase of the business cycle where economic activities and production levels increase, leading to growth in GDP and employment.

Indexed Equity Mutual Fund

An equity mutual fund that holds a portfolio of stocks that matches their share (or weight) in a broad stock market index such as the S&P 500. The overhead of these funds is usually quite low because their expenses on stock trading and research are low.

Managed Equity Fund

An investment fund in which a manager or management team makes decisions about how to allocate assets in a portfolio of equities.

Operating Costs

Refers to the day-to-day expenses involved in running a business, such as rent, utilities, and payroll.

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