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

choice a.) 4.67

Step-by-step 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

-232

step-by-step explanation:

step-by-step explanation:

4  

25

5258y

54.

t5

5r

54

5856

542

5458

86

.8558.65

565

565

55898

786

8/95

5896

8656265

556478