How, in General, Is the Requirement of Equal Population Variances

question 7

Multiple Choice

How, in general, is the requirement of equal population variances to allow the use of analysis of variancemethod verified?

• A) The largest sample standard deviation must be less than or equal to twice the smallest sample standard deviation.
• B) All three sample standard deviations must be equal.
• C) The largest sample standard deviation is equal to the sum of the other standard deviations.
• D) The largest sample standard deviation is less than or equal to the variance of the smallest sample.

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Definitions:

Standard Error

The standard deviation of the sampling distribution of a statistic, most commonly of the mean, used to estimate the accuracy of sample mean as an approximation of the population mean.

Sample Size

The number of observations or data points used in a statistical sample from a larger population.

Population Standard Deviation

A statistical measure that quantifies the amount of variance or dispersion in a set of data points across an entire population.

Standard Error

A measure of the variability or dispersion of a sample statistic (like the sample mean) from the population mean, indicating its accuracy when estimating a population parameter.