A normally shaped distribution has a μ = 36 and a σ = 12. A sample of 9 individuals is randomly selected and achieved a M = 32. What is the z-score for the obtained sample mean?
A) -.33
B) +.33
C) -1.00
D) +1.00

Question

Quizplus · Accepted Answer

To find the z-score, we use the formula:
z = (M - μ) / (σ / √n)
Substituting the given values, we get:
z = (32 - 36) / (12 / √9)
z = -4 / 4
z = -1
Therefore, the z-score for the obtained sample mean is -1.00.

A Normally Shaped Distribution Has a μ = 36 and a σ