Answer to Question #325479 in Statistics and Probability for joy joy

Question

given: x=60 and s=6 find the z-score that corresponds to each of the following scores up to two decimal places

a. x=70

b. x=58

Answer 1

We have a normal distribution, $\mu=60, \sigma=6,$

$z=\cfrac{x-\mu}{\sigma}.$

$a. \ \ x=70,z=\cfrac{70-60}{6}=\cfrac{5}{3}=1.67.\\ \\ b. \ \ x=58,z=\cfrac{58-60}{6}=-\cfrac{1}{3}=-0.33.$