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Instruction 12 -Referring to Instruction 12 Sb1S _ { b _ { 1 } }

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Instruction 12.28
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  5les 127522113734264433555152961534725588365992844103048111731122238\begin{array} { | l | l | l | } \hline \text { Broker } & \text { Clients } & \text { 5les } \\\hline 1 & 27 & 52 \\\hline 2 & 11 & 37 \\\hline 3 & 42 & 64 \\\hline 4 & 33 & 55 \\\hline 5 & 15 & 29 \\\hline 6 & 15 & 34 \\\hline 7 & 25 & 58 \\\hline 8 & 36 & 59 \\\hline 9 & 28 & 44 \\\hline 10 & 30 & 48 \\\hline 11 & 17 & 31 \\\hline 12 & 22 & 38 \\\hline\end{array}
-Referring to Instruction 12.28,the managers of the brokerage firm wanted to test the hypothesis that the true slope was equal to 0.The denominator of the test statistic is Sb1S _ { b _ { 1 } } .The value of Sb1S _ { b _ { 1 } } in this sample is ____________.

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Definitions:

Commercial Speech

Speech that promotes a commercial transaction, or advertisement, which is granted protection under the First Amendment but is subject to regulation.

First Amendment

The first addition to the U.S. Constitution, guaranteeing freedoms concerning religion, expression, assembly, and the right to petition.

Misleading

Providing false or inaccurate information that causes someone to believe something that is not true or does not present the full truth.

Equal Protection Standard

The Equal Protection Standard is a constitutional principle that requires states to treat all individuals within its jurisdiction equally under the law, particularly in terms of the administration of justice and legislative actions.

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