A sample of size n=9 is drawn from N(64,12) distribution. That is x1,x2,x3,x4,x5,x6,x7,x8,x9 are 9 observed numbers from a N(64,8) distribution. Let
x1+x2+x3+x4+x5+x6+x7+x8+x9/9
What is the distribution of X? Specify the MEAN and the Standard Deviation of the Distribution of X.
What is the chance that X lies in the interval [58,66]?