A random sample of size 8 is to be drawn from a normal distr

A random sample of size 8 is to be drawn from a normal distribution with mean 4. The Student\'s t statistic t = (X - 4)/(s/root 8) is to be computed. Irhat is the probability that t > 1.895? From the t table, P(t > 1.895) =

Solution

The degree of freedom =n-1=8-1=7

So the probability is

P(t with df=7 >1.895) = 0.04997 (from student t table)