A Sample of 13 College Professors Has a Mean Age

question 4

Essay

A sample of 13 college professors has a mean age of 30 years and a standard deviation of 5 years.Suppose that the sample is enlarged to 15 college professors,by including two additional professors that are each 30 years old.Will the standard deviation increase,decrease,or stay the same,and why?

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Definitions:

Utility Function

A mathematical representation of how consumers rank different bundles of goods based on the satisfaction each bundle provides.

Indifference Curve

A representation of the consumer's preferences, illustrating different combinations of goods that provide the same level of utility or satisfaction.

Apples

Edible fruits from the apple tree, known for their sweet taste and crunchy texture, and used in a variety of culinary dishes.

Bananas

A type of fruit that is elongated, curved, and covered with a peel, typically yellow when ripe, and consumed as a sweet source of energy.