The Sales Manager of a Large Multinational Corporation Is Concerned $\bar { x }$

question 105

Essay

The sales manager of a large multinational corporation is concerned that some salespersons perform very well and others quite poorly.To help analyze the problem he draws a random sample of 20 salespersons,determines their commission incomes (in thousands of dollars),and calculates the following statistics: $\bar { x }$ = $37.2,and s = $7.8.Do these statistics provide sufficient evidence at the 5% significance level to conclude that the population variance exceeds $35 million²?

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Definitions:

Forethought

The action of thinking about and planning for future events or tasks before they happen.

Postcentral Gyrus

The region of the cerebral cortex located just behind the central sulcus, primarily involved in processing somatosensory information.

Precentral Gyrus

A region of the cerebral cortex involved in the planning and execution of voluntary motor movements.

Prefrontal Area

A region of the frontal lobes of the brain situated just behind the forehead, involved in complex behaviors, decision making, and moderating social behavior.