anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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amistre64
  • amistre64
so we need to determine the percentage associated with a given z score
anonymous
  • anonymous
alright.
amistre64
  • amistre64
what do you have to process this with? ti83? or tables?

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More answers

anonymous
  • anonymous
all i have is the data i was given, thats it
amistre64
  • amistre64
you need to have some means to calculate the stats with.
amistre64
  • amistre64
how can you take a stats course and not have a method to process a solution?
anonymous
  • anonymous
i got 159 for the first one. not really sure if its correct
amistre64
  • amistre64
finding a zscore is relatively simple math ... but converting that to a proper percentage takes tables or a stat calculator/program
anonymous
  • anonymous
yea thats why this problem is stressing me out
amistre64
  • amistre64
\[z=\frac{x-\mu}{\sigma}\] \[z=\frac{165-150}{15}=1\]
amistre64
  • amistre64
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
amistre64
  • amistre64
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?
anonymous
  • anonymous
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 _____________."
anonymous
  • anonymous
im guessing to the nearest whole number?
amistre64
  • amistre64
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
amistre64
  • amistre64
P(z<1) = P(z>1) = about 16% using the empirical rule
anonymous
  • anonymous
yea..
amistre64
  • amistre64
so, what is 16% of 1000?
amistre64
  • amistre64
or is it 14%? 50 - 34 = 20 - 4 = 16 .. its 16%
anonymous
  • anonymous
im lost dude haha
amistre64
  • amistre64
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?
amistre64
  • amistre64
dinners ready ... good luck
anonymous
  • anonymous
alright thanks anyways

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