A sample of n = 9 scores has a variance of s² = 18.If the scores were a population,what value would be obtained for the population variance? A)?²= 14 B)?² = 16 C)?²= 24 D)?² = 144

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Quizplus · Accepted Answer

When calculating the population variance from a sample variance, we use the formula σ² = (n / n-1) * s², where n is the sample size and s² is the sample variance. Plugging in the values given, we get σ² = (9 / 8) * 18 = 20.25. However, since the scores were not a population, we must use the sample variance as an estimate of the population variance. Therefore, the best choice is B with a population variance of Ϭ2 = 16.

A Sample of N = 9 Scores Has a Variance