What is the z-score of sample X, if $n = 54, μ = 11, S t . D e v . = 33, and μ_{X} = 14.5$ $n = 54, mu= 11, St. Dev. =33, and mu_X =14.5$ ?

Question

1639 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-12T11:33:54

$z = 0.78$ $z=0.78$

$S E = \frac{σ}{\sqrt{n}} = \frac{33}{\sqrt{54}} = \frac{33}{7.35} = 4.49$ $SE =sigma/sqrtn=33/sqrt54=33/7.35=4.49$

$z = \frac{μ_{x} - μ}{S E} = \frac{14.5 - 11}{4.49} = \frac{3.5}{4.49} = 0.78$ $z=(mu_x-mu)/(SE)=(14.5-11)/4.49=3.5/4.49=0.78$

What is the z-score of sample X, if n=54,μ=11,St.Dev.=33,andμX=14.5n = 54, mu= 11, St. Dev. =33, and mu_X =14.5?