Instruction 12 -Referring to Instruction 12

question 134

Essay

Instruction 12.29
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.
$$\begin{array} { | l | l | l | } \hline \text { Broker } & \text { Clients } & \text { Sales } \\\hline 1 & 27 & 52 \\\hline 2 & 11 & 37 \\\hline 3 & 42 & 64 \\\hline 4 & 33 & 55 \\\hline 5 & 15 & 29 \\\hline 6 & 15 & 34 \\\hline 7 & 25 & 58 \\\hline 8 & 36 & 59 \\\hline 9 & 28 & 44 \\\hline 10 & 30 & 48 \\\hline 11 & 17 & 31 \\\hline 12 & 22 & 38 \\\hline\end{array}$$
-Referring to Instruction 12.29,the managers of the brokerage firm wanted to test the hypothesis that the number of new customers brought in had a positive impact on the amount of sales generated.The p-value of the test is ____________.

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Definitions:

Filtrate

The liquid that passes through a filter, separating it from suspended solids or impurities.

Renin Secretion

The process by which the kidneys release the enzyme renin, a key regulator of blood pressure and electrolyte balance.

Blood Pressure

The force of circulating blood on the walls of blood vessels, measured in millimeters of mercury (mmHg) and presented as two values: systolic and diastolic pressure.

Afferent Arterioles

Small blood vessels that carry blood toward the nephrons of the kidneys, regulating blood pressure and filtration rate.