TABLE 13-4
the Managers of a Brokerage Firm Are Interested

question 161

Short Answer

TABLE 13-4
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 Table 13-4, the managers of the brokerage firm wanted to test the hypothesis that the true slope was equal to 0. For a test with a level of significance of 0.01, the null hypothesis should be rejected if the value of the test statistic is ___________.

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Definitions:

Shares Outstanding

The total number of shares of a company that have been issued and are currently held by investors.

Stated Value

The nominal value assigned by a corporation to its issued shares, which might not reflect the market value but is used for internal accounting.

Paid-In Capital

The sum of money contributed by investors through the issuance of common or preferred stocks, counting both the share's nominal value and any excess over that nominal value.

Treasury Stock

Shares of a company's own stock that it has reacquired from shareholders but not retired, held in the company's treasury.