One Sample of N = 8 Scores Has a Variance

question 26

Multiple Choice

One sample of n = 8 scores has a variance of s² = 6 and a second sample of n = 8 scores has s² = 10.If the pooled variance is computed for these two samples, then the value obtained will be ______.

• A)closer to 6 than to 10
• B)closer to 10 than to 6
• C)exactly half way between 6 and 10
• D)cannot be determined without more information

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Definitions:

Random Variable

A variable that takes on a range of values determined by a random phenomenon, and it's described by its probability distribution.

Probability Density

A mathematical function that specifies the likelihood of a continuous variable taking on a particular value, critical in the context of continuous probability distributions.

Uniform Distribution

A type of probability distribution where all outcomes are equally likely to occur within a certain range.

Continuous Uniform

A distribution that assigns an equal probability to all outcomes in a continuous range.