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

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 _.