Question

NEED HELP ASSAP PLEASE!!! 30 POINTS!!

if a normal distribution has a mean of 154 and a standard deviation of 15, what is the value that has a z-score of 1.2?
A. 166
B. 196
C. 208
D. 172

Answer 1

• Answer:

Hence, The value that has a Z-Score of 1.2 is Option (D): 172

• Explanation:

Make A Plan:

Use the Z-SCORE FORMULA to find the value corresponding to the Given Z-SCORE

• SOLVE THE PROBLEM: σ μ

1) - USE THE Z-SCORE FORMULA

Z = Z - μ / σ

Where Z is the Z-SCORE, X is the Value, μ is the Mean, and σ is the Standard Deviation

• 2) - Plug in the Given Values:

1.2 = z - 154 / 15

• Solve For X:

x = 1.2 * 15 + 154

• We move all terms to the left:

x - (1.2 * 15 + 154 ) = 0

• We add all the numbers together,

x - 172 = 0

x = 18 + 154

x = 172

• Draw the conclusion:

Hence, The value that has a Z-Score of 1.2 is Option (D): 172

I hope this helps!