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Skanky Burns is offline Skanky Burns
Deity
Skanky Bastard Quartermaster
Aug 2001
time: 14:22
  Old Post 26-05-2005 18:51
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Statistics Question Support Apolyton, pre-order Civilization IV

How do I find out the probability of a random sample of n=15 having a mean of +1 standard deviation of the population mean?

I've been trying all day to work this one out, but it has continued to give me problems.
KrazyHorse is offline KrazyHorse
King
Macedonia
May 2001
time: 00:22
  Old Post 26-05-2005 19:14 Visit KrazyHorse's homepage!
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Support Apolyton, buy Galactic Civilizations: Deluxe Edition

The standard deviation of the mean of a random sample of a population with normal distribution drops as the square root of the size of the sample.

In other words, a sampling of 15 people at random from the population will give a mean which is normally distributed about the population mean with standard deviation 1/sqrt(15) times the population standard deviation.

So the probability of your fifteen people having mean equal to or greater than 1 sigma is the same as the probability of taking an individual and having him be equal to or greater than sqrt(15) sigma = 3.87 sigma or so (0.01% or so IIRC)
KrazyHorse is offline KrazyHorse
King
Macedonia
May 2001
time: 00:22
  Old Post 26-05-2005 19:16 Visit KrazyHorse's homepage!
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Put an end to popups!

This is a standard random walk problem...
Skanky Burns is offline Skanky Burns
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Skanky Bastard Quartermaster
Aug 2001
time: 14:22
  Old Post 26-05-2005 19:26
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Support Apolyton, buy Call to Power 2

Its what I get for not studying this though.
Cheers.

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