Question

In a certain normal distribution of scores, the mean is 40 and the standard deviation is 3. Find the z-score corresponding to a score of 54.

a. 4.67
c. 4.67
b. 18.0
d. 13.33
Please select the best answer from the choices provided

Answer 1

choice a.) 4.67

Explanation:

Using the Z-score table.

We have:

mean u = 40

standard deviation s = 3

for X = 54

Use formula for Z-score: Z = (X -u)/s

Z-score = Z = (X - u)/s = (54 - 40)/3 = 14/3 = 4.6667

P(Z > 4.6667) = 0.000003 very close to 0