Question

Suppose a simple random sample of size

nequals=6464

is obtained from a population that is skewed right with

mu equals 88μ=88

and

sigma equals 24σ=24.

​(a) Describe the sampling distribution of

x overbarx.

​(b) What is

Upper P left parenthesis x overbar greater than 91.9 right parenthesisP x>91.9​?

​(c) What is

Upper P left parenthesis x overbar less than or equals 81.55 right parenthesisP x≤81.55​?

​(d) What is

Upper P left parenthesis 83.8 less than x overbar less than 95.2 right parenthesisP 83.8<x<95.2​?

​(a) Choose the correct description of the shape of the sampling distribution of

x overbarx.

A.

The distribution is skewed right.

B.

The distribution is uniform.

C.

The distribution is approximately normal.

D.

The distribution is skewed left.

E.

The shape of the distribution is unknown.

Answer 1