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.
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.
a) Obtain the distribution of  8Ybar/s^2
b)What is the distribution of  s^2/8ybar^2?

kropot72 · Answer

The variance value has not been included in the question. Please post value of the variance.

campbell_st · Answer

looks like standard normal, mean 0 standard deviation of 1

anonymous · Answer

sorry..typing mistakes..variance is 1

anonymous · Answer

Show that the series $$\sum_{n=0}^{\infty} 1/(1+n^2 x) $$ converges uniformly on $$\left[ a, \infty \right]$$ for a >0 but does not converges uniformly on $$\left( 0, \infty \right)$$.