Question

For a sample of n=5 scores, the sum of squares is SS=800. - Calculate the biased sample variance. - Calculate the biased sample standard deviation. - Calculate the unbiased sample variance. - Calculate the unbiased sample standard deviation.

Answer 1

To calculate the biased sample variance, divide the sum of squares by the sample size. Then, compute the biased sample standard deviation which is the square root of the biased sample variance. For the unbiased sample variance, divide the sum of squares by the sample size minus one. Lastly, calculate the unbiased sample standard deviation by taking the square root of the unbiased sample variance = 14.14.

Step-by-step explanation:

To calculate the biased sample variance, divide the sum of squares (SS) by the sample size (n). In this case, SS = 800 and n = 5. So, the biased sample variance is 800/5 = 160.

To calculate the biased sample standard deviation, take the square root of the biased sample variance. In this case, the biased sample standard deviation is √160 = 12.65.

To calculate the unbiased sample variance, divide the sum of squares by the sample size minus one (n-1). So, the unbiased sample variance is 800/(5-1) = 200.

To calculate the unbiased sample standard deviation, take the square root of the unbiased sample variance. In this case, the unbiased sample standard deviation is √200 = 14.14.