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if a normal distribution has a mean of 44 and a standard deviation of 8…

Question

if a normal distribution has a mean of 44 and a standard deviation of 8, what is the z - score for a value of 50?

choice

a. 0.25
b. 0.75
c. 1.25
d. 1.75

Explanation:

Step1: Escribir la fórmula del z - score

$$z=\frac{x-\mu}{\sigma}$$
donde \(x = 50\), \(\mu=44\) y \(\sigma = 8\)

Step2: Sustituir los valores en la fórmula

$$z=\frac{50 - 44}{8}=\frac{6}{8}=0.75$$

Answer:

B. 0.75