A Sample of Assistant Professors on the Business Faculty at State-Supported

question 42

Multiple Choice

A sample of assistant professors on the business faculty at state-supported institutions in Ohio revealed the mean income to be $72,000 for nine months,with a standard deviation of $3,000. Using Chebyshev's theorem,what proportion of the faculty earns more than $66,000,but less than $78,000?

• A)At least 50%
• B)At least 25%
• C)At least 75%
• D)At least 100%

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Definitions:

Subpopulation Mean

The average value of a specific subset of a population, used in statistical analysis to compare groups.

Normally Distributed

Describes a bell-shaped curve distribution where most observations cluster around the central peak and the probabilities for values further away from the mean taper off equally in both directions.

Explanatory Variable

A variable that is manipulated or categorized to investigate its effect on a response variable in research.

Sample Correlation

A measure of the strength and direction of a linear relationship between two variables in a sample.