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

question 130

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, the managers of the brokerage firm wanted to test the hypothesis that the population slope was equal to 0.The p-value of the test is _.

---

Definitions:

Sample Size

The number of observations or elements selected from a population to be included in a sample.

Upper Limit

The highest value in a range or set of data, often referring to the maximum point in an interval or boundary in statistical analysis.

Standard Deviation

An indicator that determines how spread out a dataset is from its mean, obtained by taking the square root of the variance.

Population Standard Deviation

The measure of the dispersion of data points in a population from its mean, providing insight into the variability within the entire population.