The coefficient of variation for a sample of values Y1,...,Yn is CV=S/Y bar defined by where Ybar is the mean and S is the standard deviation. Let denote a random sample of size 8 from a normal distribution with mean 0 and variance sigma square
a) Obtain the distribution of 8Ybar/s^2
b)What is the distribution of s^2/8ybar^2?

Question

The coefficient of variation for a sample of values   Y1,...,Yn   is CV=S/Y bar defined by where  Ybar is the mean and   S is the standard deviation.  Let    denote a random sample of size 8 from a normal distribution with mean 0 and variance sigma square
a) Obtain the distribution of  8Ybar/s^2
b)What is the distribution of  s^2/8ybar^2?

anonymous · Answer

Your post missed this information " ...variance sigma square ?