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When Comparing the Variances of Two Normally Distributed Populations Using s12=s22s _ { 1 } ^ { 2 } = s _ { 2 } ^ { 2 }

question 17

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When comparing the variances of two normally distributed populations using independent random samples,if s12=s22s _ { 1 } ^ { 2 } = s _ { 2 } ^ { 2 }
the calculated value of F will always be equal to one.


Definitions:

Percentile

A value on a scale of 100 that indicates the percent of a distribution that is equal to or below it.

Quartiles

Divisions of a data set that mark three points to divide the data into four equal parts, each representing a quarter of the dataset.

Histogram

A graphical representation of data using bars of different heights to show the frequency of data in different intervals.

Interquartile Range

The difference between the 75th and 25th percentiles of a data set, representing the spread of the middle 50% of values.

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