A sample of n = 9 scores is obtained from a population with μ = 70 and σ = 18.If the sample mean is M = 76,what is the z-score for the sample mean?
A)z = 0.33
B)z = 0.50
C)z = 1.00
D)z = 3.00

Question

Quizplus · Accepted Answer

To calculate the z-score for the sample mean, we will use the formula:

z = (M - μ) / (σ / √n)

Here, M = 76, μ = 70, σ = 18, and n = 9. Substituting these values, we get:

z = (76 - 70) / (18 / √9) = 6 / 6 = 1.00

Therefore, the z-score for the sample mean is 1.00.

A Sample of N = 9 Scores Is Obtained from a Population