The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10

Question

MAVERICK [17]

3 years ago

14

The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10

0. what is the z-score for an income of $2,100? g

Mathematics

1 answer:

cestrela7 [59] · Answer 1 · 2022-04-19T11:35:32+03:00

Let X be the weekly incomes of a large group of executives. The weekly incomes of a large group of executives follows Normal distribution with mean $2000 and standard deviation $100.

μ =2000, σ =100

We have to find z score for income $2100 i.e x=2100

Z = $\frac{x-mean}{standard deviation}$

= $\frac{2100 - 2000}{100}$

Z = 100/100

Z = 1

The z score for income $2100 is 1