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 = 0.25
B)z = 0.50
C)z = 1.00
D)z = 4.00

Question

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 = 0.25
B)​z = 0.50
C)​z = 1.00
D)​z = 4.00

Quizplus · Accepted Answer

To calculate the z-score, we use the formula:
z = (M - μ) / (σ / sqrt(n))
Substitute the values:
z = (54 - 50) / (16 / sqrt(16)) = 4 / 4 = 1
Therefore, the z-score for the sample mean is 1, which is option C.

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