We Are Interested in Determining Whether or Not the Variances

question 31

Essay

We are interested in determining whether or not the variances of the starting salaries of accounting majors are significantly different from the starting salaries of management majors. The following information was gathered from two samples: $$\begin{array} { l c c } & \text { Accounting } & \text { Management } \\\text { Sample size } & 16 & 16 \\\text { Average monthly income } & \$ 2,400 & \$ 2,500 \\\text { Standard deviation } & \$ 105 & \$ 125\end{array}$$ At a 5% level of significance, test to determine whether or not the variances are equal.
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Definitions:

Clade

A group of taxa whose members share one or more defining derived traits.

Genetic Variation

The diversity in gene frequencies within a population, contributing to the population's adaptability.

Allopatric Speciation

The evolution of new species through geographic isolation, where populations are separated by physical barriers that prevent gene flow.

Directional Selection

A process of natural selection where individuals with traits on one end of the spectrum are more likely to survive and reproduce, leading to a shift in the population trait distribution over time.