The coefficient of variation for a sample values Y1,...,Yn is defined by CV=S/Y where Y is the mean and S is the standard deviation. Let Y1,...,Y8 denote a random sample of size 8 from a normal disttribution with mean 0 and variance (sigma)^2

Question

anonymous · Answer

a) Obtain the distribution of$$8Y/S ^{2}$$
b) What is the distribution of $$S^{2}/ 8Y^{2}$$
c) Find the number c and such that c>0,d>0
$$P(c \le S/Y \le d) = 0.95$$
d) Find the number c such that c>0
$$P(-c \le S/Y \le c) = 0.95$$