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?

- anonymous

- schrodinger

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- anonymous

- anonymous

- rational

50 cents is same as 0.5 dollar

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## More answers

- anonymous

Yes So im looking down the ztable at .5

- rational

start by finding the zscores for observations 3.75 and 5

- anonymous

.00009

- rational

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

- rational

similarly try finding the zscore for obsrevation 5

- anonymous

.30854

- rational

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

- anonymous

##### 1 Attachment

- rational

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

- rational

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

- anonymous

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

- rational

yes what is it

- anonymous

1?

- rational

Yes!

- rational

so we have below so far :
zscore for observation 3.75 is ` -1.5`
zscore for observation 5 is `1`

- rational

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

- anonymous

##### 1 Attachment

- anonymous

##### 1 Attachment

- rational

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

- anonymous

##### 1 Attachment

- rational

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

- anonymous

77.4%

- rational

Yep! good job!

- anonymous

Awesome thank you!!

- rational

yw

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