Answer to Question #292942 in Statistics and Probability for secret

Question

Given the μ = 43.66 and σ = 1.03, compute the z-score that corresponds to the given score X = 37

Answer 1

Solution:

$μ = 43.66 ,σ = 1.03 \\ X\sim N(μ ,σ ) \\ X=37 \\z=\dfrac{X-μ}{σ} \\\Rightarrow z=\dfrac{37-43.66}{1.03} \\\Rightarrow z=-6.47$