well, with out calculating them, I believe that
and
You want k such that
you need to make that term on the left look like a
by using the fact that
Just multiply and divide, using the fact that
Suppose X1, X2,...Xn come from a random sample of a normal distribution with mean and standard deviation unknown. let mu hat and sigma hat denote maximum likelihood estimators of the mean and standard deviation. for a sample size of n=17, find the value of k such that:
P(Mu hat> Mu + k*sigmahat)= .95
I am just wondering if anyone could kind of walk me through how to do a problem like this. Thanks so much!!