A Company Keeps Extensive Records on Its New Salespeople on the Premise

question 97

Essay

A company keeps extensive records on its new salespeople on the premise that sales
should increase with experience. A random sample of seven new salespeople produced
the data on experience and sales shown in the table. $\begin{array}{c|c}\text { Months on Job } & \begin{array}{c}\text { Monthly Sales } \\y \text { (\$ thousands) }\end{array} \\\hline 2 & 2.4 \\4 & 7.0 \\8 & 11.3 \\12 & 15.0 \\1 & .8 \\5 & 3.7 \\9 & 12.0\end{array}$

Summary statistics yield $S S _ { x x } = 94.8571 , S S _ { x y } = 124.7571 , S S _ { y y } = 176.5171 , \bar { x } = 5.8571$ , and $\bar { y } = 7.4571$ . Calculate a $90 \%$ confidence interval for $E ( y )$ when $x = 5$ months. Assume $s = 1.577$ and the prediction equation is $\hat { y } = - .25 + 1.315 x$ .

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Definitions:

Emotional Information

Data related to feelings or affective states that can influence cognition and behavior.

Temporal Lobe

A region of the cerebral cortex located beneath the lateral fissure on both cerebral hemispheres, associated with processing auditory information and encoding memory.

Hearing

The ability to perceive sound by detecting vibrations through an organ such as the ear.

Temporal Lobe

A region of the cerebral cortex involved in auditory perception, language comprehension, and memory formation.