Answer to Question #190055 in Statistics and Probability for aariana moultrie

Question

assume that the salaries of the elementary school teachers in the united states are normally distributed with a mean of $31,450 and a standard deviation of $2,995. What is the cutoff salary for teachers in the bottom 15%?

Answer 1

We have given,

$\mu = 31450$

$\sigma = 2995$

z score = $-1.036$

We use the formula,

$z = \dfrac{X - \mu}{\sigma}$

$-1.306 = \dfrac{X-31450}{2995}$

$-3911.47 = X - 31450$

$X = 27538.53$

Hence, the cut off salary $= 27538.53$$