Suppose x is a normal random variable with mean ($\mu$)equal to 60 and standard deviation ($\sigma$)of 2.If the z score was calculated to be -1.3, what is the value of x?
A)58.7
B)61.3
C)62.6
D)57.4
E)54.7

Question

Quizplus · Accepted Answer

We use the formula for z score:

z = (x - μ) / σ

Substituting the given values, we get:

-1.3 = (x - 60) / 2

Solving for x, we get:

x = (-1.3 * 2) + 60 = 57.4

Therefore, the answer is D) 57.4.

Suppose X Is a Normal Random Variable with Mean μ\muμ )Equal to 60 and Standard Deviation

Suppose X Is a Normal Random Variable with Mean $\mu$ )Equal to 60 and Standard Deviation