Question

Suppose a population has a mean of mu equals 54 and a standard deviation of sigma equals 15. A sample of size n=36 is taken. The sampling distribution of the sample mean has which of the following characteristics? mu subscript top enclose x end subscript equals 1.5 and sigma subscript top enclose x end subscript space equals space 2.5 mu subscript top enclose x end subscript equals 1.5 and sigma subscript top enclose x end subscript space equals space 15 mu subscript top enclose x end subscript equals 54 and sigma subscript top enclose x end subscript space equals space 2.5 mu subscript top enclose x end subscript equals 54 and sigma subscript top enclose x end subscript space equals space 15

Answer 1

Sampling distribution of sample mean will be approximately normal with:

= 54

= 15/6 = 2.5