# What is the z-score of sample X, if n=256,mu=17,St Dev=80,and mu_X=22

What is the z-score of sample X, if ?
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Branson Perkins
Given
$n=256\phantom{\rule{0ex}{0ex}}\mu =17\phantom{\rule{0ex}{0ex}}\text{St.Dev}=80\phantom{\rule{0ex}{0ex}}{\mu }_{X}=22$
Find the Standard Error
$SE=\frac{\sigma }{\sqrt{n}}=\frac{80}{\sqrt{256}}=5$
Find the z-score
$z=\frac{17-22}{5}=-1$