What is the z-score of sample X, if $n = 169, μ = 42, S t . D e v . = 39, and E [X] = 12$ $n = 169, mu= 42, St. Dev. =39, and E[X] =12$ ?

Question

1945 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-12T07:30:33

The z-score is $= - 10$ $=-10$

The z-score for a sample mean is $\frac{¯ x - μ}{\frac{σ}{\sqrt{n}}}$ $(barx-mu)/(sigma/sqrtn)$

So, here we have $= \frac{12 - 42}{\frac{39}{\sqrt{169}}}$ $=(12-42)/(39/sqrt169)$

$= - \frac{30}{3} = - 10$ $=-30/(3)=-10$

What is the z-score of sample X, if n=169,μ=42,St.Dev.=39,andE[X]=12n = 169, mu= 42, St. Dev. =39, and E[X] =12?