Five independent samples each of size n are to be drawn from

Five independent samples, each of size n, are to be

drawn from a normal distribution where is known. For

each sample, the interval

y 0.96 .

n , y +1.06 .

n

will

be constructed. What is the probability that at least four

of the intervals will contain the unknown ?

Solution

the probability that at least four of the intervals will contain the unkown miu depends

of n and depends of confidence interval

alpha = 0.05

so the probability is 0.05