A sample of n = 16 scores is obtained from a population with μ = 50 and σ = 16.If the sample mean is M = 54,then what is the z-score for the sample mean?
A)z = 4.00
B)z = 1.00
C)z = 0.50
D)z = 0.25

Question

Quizplus · Accepted Answer

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

z = (M - μ) / (σ / sqrt(n))

Plugging in the values given, we get:

z = (54 - 50) / (16 / sqrt(16)) = 4 / 4 = 1

Therefore, the z-score for the sample mean is 1, which corresponds to choice B.

A Sample of N = 16 Scores Is Obtained from a Population