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

question 199

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 both a99% confidence interval estimate and a 99% prediction interval for X = 24.The confidence interval estimate would be the (wider or narrower) of the two intervals.

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Definitions:

Abundant Silica

The presence of a high concentration of silicon dioxide in rocks or magma, which affects their viscosity and melting point.

Less Viscous

Refers to a substance's decreased resistance to flow, implying it moves more freely compared to more viscous materials.

Magma Volatile

Gases and other volatile substances that are dissolved in magma and can affect its viscosity and eruption style.

Chemistry

The scientific branch that studies the composition, structure, properties, and change of matter.