An F-Test for Equality of Variances Gives a P-Value of .003

question 47

Multiple Choice

An F-test for equality of variances gives a p-value of .003. At α = .05, what conclusion can be made about the preferred test to compare the means for the same sample?

• A)We would prefer a pooled variance t-test for equality of means.
• B)We would not wish to pool the variances in a t-test for equality of means.
• C)We would prefer a paired t-test for equality of means.
• D)The variances have nothing to do with the t-test for equality of means.

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Definitions:

Binomial Random Variable

A random variable that follows a binomial distribution, representing the number of successes in a fixed number of binary experiments.

Standard Error

A statistic that measures the accuracy with which a sample distribution represents a population by using standard deviation and sample size.

Sampling Distribution

The pattern of probability distribution associated with a particular statistic, derived from a random sample.

Normal Curve

A type of continuous probability distribution for a real-valued random variable, characterized by its bell-shaped curve that is symmetrical around its mean.