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## anonymous one year ago 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?

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1. anonymous

@myko

2. anonymous

@rational

3. rational

50 cents is same as 0.5 dollar

4. anonymous

Yes So im looking down the ztable at .5

5. rational

start by finding the zscores for observations 3.75 and 5

6. anonymous

.00009

7. rational

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

8. rational

similarly try finding the zscore for obsrevation 5

9. anonymous

.30854

10. rational

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

11. anonymous

12. rational

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

13. rational

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

14. anonymous

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

15. rational

yes what is it

16. anonymous

1?

17. rational

Yes!

18. rational

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

19. rational

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

20. anonymous

21. anonymous

22. rational

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

23. anonymous

24. 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

25. anonymous

77.4%

26. rational

Yep! good job!

27. anonymous

Awesome thank you!!

28. rational

yw

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