A normal distribution has mean LaTeX: \mu=14μ = 14 and standard deviation LaTeX: \sigma=3σ = 3....

Question

Question

A normal distribution has mean LaTeX: \mu=14μ = 14 and standard deviation LaTeX: \sigma=3σ = 3. Find and interpret the z-score for LaTeX: x=11x = 11.

math Statistics-And-Probability

Answer 1

Answer #1

Solution :

Given ,

mean = $\mu$ = 14

standard deviation = $\sigma$ = 3

x=11

using z-score formula

z =X - $\mu$ / $\sigma$

z=11-14/3

z= -1

Answer 2

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