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):
- Take the sample standard deviation (s), which is given as 4.
- Square the standard deviation (s) to get the variance. That is, s2 = 42 = 16.
Therefore, the sample variance s2 for this dataset is 16.