Compute an approximate probability that the mean of a random variable sample of size 15 from s distribution with p.d.f

f(x)=3x^2 0<x<1

f(x)=0 elsewhere,

is between 3/5 and 4/5.

Can you please help me with this question?

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- April 25th 2009, 01:26 AM #1

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- April 25th 2009, 04:32 AM #2
Provided the sample size is sufficiently large, the distribution of the sample mean is approximately normal (regardless of the parent population distribution) with mean equal to the mean of the underlying parent population and variance equal to the variance of the underlying parent population divided by the sample size.

I wouldn't have thought that n = 15 was very large, but the above is probably what you're expected to apply.

- April 25th 2009, 01:09 PM #3

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- April 25th 2009, 04:11 PM #4