A random sample of n = 16 scores is obtained from a 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?
A)+6.00
B)+2.00
C)+1.00
D)cannot be determined without knowing the population mean

Question

Quizplus · Accepted Answer

The z-score is calculated as (sample mean - population mean) / (σ/√n). Here, the difference is 6, σ = 12, and n = 16, so z = 6 / (12/√16) = 6 / 3 = 2.00.

A Random Sample of N = 16 Scores Is Obtained