What raw score in a normal distribution would correspond to a z score of 1.56 with a mean equal to 75 and standard deviation of 2?

Question

Quizplus · Accepted Answer

We can use the formula:

z = (x - μ) / σ

where:
- z is the z-score
- x is the raw score
- μ is the mean
- σ is the standard deviation

Substituting the given values, we have:

1.56 = (x - 75) / 2

Solving for x:

x - 75 = 2 * 1.56

x - 75 = 3.12

x = 78.12

Therefore, a raw score of 78.12 corresponds to a z score of 1.56 with a mean equal to 75 and standard deviation of 2.

What Raw Score in a Normal Distribution Would Correspond to a Z