Suppose That College Faculty with the Rank of Professor at 4-Year

question 42

Essay

Suppose that college faculty with the rank of professor at 4-year institutions earn an average of $72,500 per year with a standard deviation of $4500. In an attempt to verify this salary level, a random sample of 60 professors was selected from a personnel database for all 4-year institutions in the United States.
Is the sampling distribution of the sample mean approximately normal?
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What is the mean?
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What is the standard deviation?
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Within what limits would you expect the sample average to be, with probability 0.95?
Lower - $ ______________
Upper - $ ______________
Calculate the probability that the sample mean is greater than $75,000.
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If your random sample actually produced a sample mean of $75,000, would you consider this unusual?
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What conclusion might you draw?
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Definitions:

AV Bundle

The bundle of His, which is a collection of heart muscle cells specialized for electrical conductivity that transmits the electrical impulses from the AV node to the point of the apex of the fascicular branches.

SA Node

Sinoatrial node, the heart's natural pacemaker, initiating the electrical impulses that set the rate and rhythm of your heartbeat.

AV Node

The atrioventricular node, a part of the cardiac conduction system that controls the heart rate by slowing the electrical current before it passes from the atria to the ventricles.

Pacemaker

A device implanted in the body that uses electrical impulses to regulate the beating of the heart or a natural group of cells in the heart that performs this function.