Question

A manufacturing facility pays its employees an average wage of $4.50 an hour with a standard deviation of 50¢. If the wages are normally distributed, what is the percentage of workers getting paid between $3.75 and $5.00 an hour?

Answer 1

@myko

Answer 2

@rational

Answer 3

50 cents is same as 0.5 dollar

Answer 4

Yes So im looking down the ztable at .5

Answer 5

start by finding the zscores for observations 3.75 and 5

Answer 6

.00009

Answer 7

mean = 4.5
standard deviation = 0.5

zscore for observation 3.75 is given by
\[\frac{3.75-4.5}{0.5} = -1.5 \]

Answer 8

similarly try finding the zscore for obsrevation 5

Answer 9

.30854

Answer 10

how ?
show work so that il be able to pinpoint the mistake

Answer 11

Nope, don't look at the ztable yet.
first we need to find zscores

Answer 12

i have worked zscore for the observation 3.75
see if u can work the zscore for the observation 5

Answer 13

So then it would just be 5-4.5/0.5=x

Answer 14

yes what is it

Answer 15

1?

Answer 16

Yes!

Answer 17

so we have below so far :

zscore for observation 3.75 is ` -1.5`
zscore for observation 5 is `1`

Answer 18

now open ur ztable, and find the areas corresponding to these zscores

Answer 19

subtract both to get the percentage of works getting paid between 3.75 and 5

Answer 20

area for the zscore of -1.5 is `0.06681`
area for the zscore of 1 is `0.84134`

subtract to get the percentage of workers that get paid between 3.75 and 5

Answer 21

77.4%

Answer 22

Yep! good job!

Answer 23

Awesome thank you!!

Answer 24

yw