anonymous
  • anonymous
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?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
anonymous
  • anonymous
rational
  • rational
50 cents is same as 0.5 dollar

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anonymous
  • anonymous
Yes So im looking down the ztable at .5
rational
  • rational
start by finding the zscores for observations 3.75 and 5
anonymous
  • anonymous
.00009
rational
  • 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
  • rational
similarly try finding the zscore for obsrevation 5
anonymous
  • anonymous
.30854
rational
  • rational
how ? show work so that il be able to pinpoint the mistake
anonymous
  • anonymous
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rational
  • rational
Nope, don't look at the ztable yet. first we need to find zscores
rational
  • rational
i have worked zscore for the observation 3.75 see if u can work the zscore for the observation 5
anonymous
  • anonymous
So then it would just be 5-4.5/0.5=x
rational
  • rational
yes what is it
anonymous
  • anonymous
1?
rational
  • rational
Yes!
rational
  • rational
so we have below so far : zscore for observation 3.75 is ` -1.5` zscore for observation 5 is `1`
rational
  • rational
now open ur ztable, and find the areas corresponding to these zscores
anonymous
  • anonymous
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anonymous
  • anonymous
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rational
  • rational
subtract both to get the percentage of works getting paid between 3.75 and 5
anonymous
  • anonymous
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rational
  • 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
  • anonymous
77.4%
rational
  • rational
Yep! good job!
anonymous
  • anonymous
Awesome thank you!!
rational
  • rational
yw

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