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A sample of n = 20 scores has µ = 12 and s = 4. What is the sample variance (s^2)?

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Final answer:

To find the sample variance (s^2), square the sample standard deviation. Given a standard deviation (s) of 4, the sample variance is 4^2, which equals 16.

Step-by-step explanation:

The question asks for the sample variance (s2) given a sample of n = 20 scores with a mean (µ) of 12 and a standard deviation (s) of 4. The sample variance is the square of the sample standard deviation. Therefore, the sample variance would be calculated as follows:

To calculate the sample variance (s2):

  1. Take the sample standard deviation (s), which is given as 4.
  2. Square the standard deviation (s) to get the variance. That is, s2 = 42 = 16.

Therefore, the sample variance s2 for this dataset is 16.

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