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anonymous

  • one year ago

The following table shows the data of a random sample of fish collected from and later released into a lake: How many bass are estimated to be present if a random sample of 1,500 fish is collected from the lake? Type of Fish Bass Catfish Warmouth Number of fish 60 70 20

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  1. DanJS
    • one year ago
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    (sample size) * (# bass) / (Total Fish)

  2. DanJS
    • one year ago
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    Take the fraction that are bass, and multiply that by your sample size

  3. anonymous
    • one year ago
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    60/1500?

  4. DanJS
    • one year ago
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    Ok, in the sample, there are 60 bass and (60+70+20) = 150 total fish

  5. DanJS
    • one year ago
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    the fraction that are bass is 60/150

  6. DanJS
    • one year ago
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    or 2/5 or 40%

  7. anonymous
    • one year ago
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    then add the total after?

  8. DanJS
    • one year ago
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    If 1500 Fish are sampled, you would expect 40% to be bass

  9. DanJS
    • one year ago
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    1500*0.4 = 600 estimated bass

  10. DanJS
    • one year ago
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    This is what we did \[\frac{ 60 }{ 60+70+20 } = \frac{ x }{ 1500 }\]

  11. DanJS
    • one year ago
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    Just scaled up the sample size to 1500 from 150 with the same expectations on percent of bass

  12. anonymous
    • one year ago
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    @DanJS how would I come to the total

  13. anonymous
    • one year ago
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    600 would be the answer

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