anonymous
  • anonymous
Suppose the number of students in a class for the Business Statistics program at a University has a mean of 23 with a standard deviation of 4.3. If 15 classes are selected randomly, find the probability that the mean number of students is between 20 and 30. 0.9699 0.9966 0.8412 0.6824
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@sweetburger
anonymous
  • anonymous
@UsukiDoll
UsukiDoll
  • UsukiDoll
I haven't studied statistics. Sorry :/

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anonymous
  • anonymous
is okay
phi
  • phi
These are the population statistics: mean of 23 with a standard deviation of 4.3. \[ \mu = 23 ,\ \ \sigma= 4.3\] 15 classes are selected randomly represent a sample of size 15. The mean of this sample is also 23, but with a standard deviation \( \sigma_{sample}= \frac{1}{\sqrt{15}} \sigma\)
phi
  • phi
the std dev of your sample means will be 4.3/sqrt(15) = 1.11 the limits 20 to 30 represent -3/1.11 to +7/1.11 or -2.7 to +6.3 std dev as the +6.3 above the mean is very far out in the tail, you can just find the area under the curve from -2.7 to infinity (or 1 - area below -2.7)
anonymous
  • anonymous
@phi and how would you find the area under the curve ?
phi
  • phi
people use a z table.
anonymous
  • anonymous
so can i find it and tell you my answer to see if i get it right ?
anonymous
  • anonymous
so i got C but i dont think that is correct
phi
  • phi
you are looking for the area |dw:1437654513070:dw|
phi
  • phi
can you post a copy of the table you are using ?
anonymous
  • anonymous
i dont have one i just looked one up in google
anonymous
  • anonymous
i honestly just dont get this and i already went back to the lesson like 3 times to see if i could figure it out and i cant.
phi
  • phi
what is the link to the table?
anonymous
  • anonymous
http://cosstatistics.pbworks.com/f/1281154582/6368.png
anonymous
  • anonymous
wait would it be B ?
phi
  • phi
the area you want for your problem starts at -2.7 and goes to the right your table shows the area starting on the left and going up to some std dev. this is opposite of your problem. BUT, because the curve is symmetric, you can use this table. find the value for z= 2.7
anonymous
  • anonymous
so where it say 2.7 i got there ?
phi
  • phi
yes
anonymous
  • anonymous
i got 0.9966

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