Question

A random sample of n = 16 scores is obtained from a parent population with σ = 12. If the sample mean is 6 points greater than the population mean, what is the z-score for the sample mean?

Answer 1

0.5

Explanation:

Sample mean, x = 6 points greater than population mean ;

Population mean, m = 16

Standard deviation, s = 12

Zscore = (sample mean - population mean) / standard deviation

Zscore = (x - m) / s

x = 16 + 6 = 22

Zscore = (22 - 16) / 12

Zscore = 6 /12

Zscore = 0.5