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

question 102

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Instruction 12-4
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  Sales127522113734264433555152961534725588365992844103048111731122238\begin{array}{ccc} \text {Broker }&\text {Clients }&\text { Sales}\\\hline1 & 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 Instruction 12-4,the total sum of squares (SST)is ________.


Definitions:

One-tailed Tests

A type of hypothesis test that determines if there is a significant difference in a specific direction between the compared groups.

Population Variances

A measure of the dispersion of a population's values, quantifying how much the members of the population differ from the population mean.

Population Variances

A measure of the dispersion of a set of data points in a population, calculating the average of the squared differences from the mean.

Significance Level

The probability of rejecting the null hypothesis when it is true, often denoted by alpha.

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