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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
    • one year ago
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    @myko

  2. anonymous
    • one year ago
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    @rational

  3. rational
    • one year ago
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    50 cents is same as 0.5 dollar

  4. anonymous
    • one year ago
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    Yes So im looking down the ztable at .5

  5. rational
    • one year ago
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    start by finding the zscores for observations 3.75 and 5

  6. anonymous
    • one year ago
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    .00009

  7. rational
    • one year ago
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    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
    • one year ago
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    similarly try finding the zscore for obsrevation 5

  9. anonymous
    • one year ago
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    .30854

  10. rational
    • one year ago
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    how ? show work so that il be able to pinpoint the mistake

  11. anonymous
    • one year ago
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  12. rational
    • one year ago
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    Nope, don't look at the ztable yet. first we need to find zscores

  13. rational
    • one year ago
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    i have worked zscore for the observation 3.75 see if u can work the zscore for the observation 5

  14. anonymous
    • one year ago
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    So then it would just be 5-4.5/0.5=x

  15. rational
    • one year ago
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    yes what is it

  16. anonymous
    • one year ago
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    1?

  17. rational
    • one year ago
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    Yes!

  18. rational
    • one year ago
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    so we have below so far : zscore for observation 3.75 is ` -1.5` zscore for observation 5 is `1`

  19. rational
    • one year ago
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    now open ur ztable, and find the areas corresponding to these zscores

  20. anonymous
    • one year ago
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  21. anonymous
    • one year ago
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  22. rational
    • one year ago
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    subtract both to get the percentage of works getting paid between 3.75 and 5

  23. anonymous
    • one year ago
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  24. rational
    • one year ago
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    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
    • one year ago
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    77.4%

  26. rational
    • one year ago
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    Yep! good job!

  27. anonymous
    • one year ago
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    Awesome thank you!!

  28. rational
    • one year ago
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    yw

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