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anonymous

  • one year ago

The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. From the data, what is the number of men weighing more than 165 pounds? What is the number of men weighing less than 135 pounds?

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  1. amistre64
    • one year ago
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    so we need to determine the percentage associated with a given z score

  2. anonymous
    • one year ago
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    alright.

  3. amistre64
    • one year ago
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    what do you have to process this with? ti83? or tables?

  4. anonymous
    • one year ago
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    all i have is the data i was given, thats it

  5. amistre64
    • one year ago
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    you need to have some means to calculate the stats with.

  6. amistre64
    • one year ago
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    how can you take a stats course and not have a method to process a solution?

  7. anonymous
    • one year ago
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    i got 159 for the first one. not really sure if its correct

  8. amistre64
    • one year ago
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    finding a zscore is relatively simple math ... but converting that to a proper percentage takes tables or a stat calculator/program

  9. anonymous
    • one year ago
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    yea thats why this problem is stressing me out

  10. amistre64
    • one year ago
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    \[z=\frac{x-\mu}{\sigma}\] \[z=\frac{165-150}{15}=1\]

  11. amistre64
    • one year ago
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    so we would need to determine the probability of z>1 in this case. how accurate do we need to be? there is a approximation rule

  12. amistre64
    • one year ago
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    64/2 = 34 + 50 = 84 100 - 84 = 16, so about 16% of 1000 would be an estimate, but how good of an estimate do they want?

  13. anonymous
    • one year ago
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    there is none, simply says "From the data, we can conclude that the number of men weighing more than 165 pounds is about ___________, and the number of men weighing less than 135 pounds is about _____________."

  14. anonymous
    • one year ago
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    im guessing to the nearest whole number?

  15. amistre64
    • one year ago
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    135 to 150 is 15 as well, so 1 standard deviation below the mean ... a normal distribution is symetric about the mean so both values should be the same

  16. amistre64
    • one year ago
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    P(z<1) = P(z>1) = about 16% using the empirical rule

  17. anonymous
    • one year ago
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    yea..

  18. amistre64
    • one year ago
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    so, what is 16% of 1000?

  19. amistre64
    • one year ago
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    or is it 14%? 50 - 34 = 20 - 4 = 16 .. its 16%

  20. anonymous
    • one year ago
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    im lost dude haha

  21. amistre64
    • one year ago
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    youve got alot of memorization to tackle for this course :) there is a rule that says about 68% of the data falls within +- 1 sd from the mean the mean is 50, and half of 68 is 34 50 - 34 = 16 .... we have 16% that covers our information ... soo, what is 16% of 1000?

  22. amistre64
    • one year ago
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    dinners ready ... good luck

  23. anonymous
    • one year ago
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    alright thanks anyways

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