Question

A simple random sample of size n=64 is obtained from a population that is skewed right with μ=81 and σ=24.

​(a) Describe the sampling distribution of x overbarx.

​(b) What is Upper P left parenthesis x overbar greater than 84.15 right parenthesisP x>84.15​?

​(c) What is Upper P left parenthesis x overbar less than or equals 73.65 right parenthesisP x≤73.65​?

​(d) What is Upper P left parenthesis 78.6 less than x overbar less than 87.15 right parenthesisP 78.6<x<87.15​?

​(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 skewed left.

D.

The distribution is approximately normal.

E.

The shape of the distribution is unknown.

Find the mean and standard deviation of the sampling distribution of x overbarx.

mu Subscript x overbarμx

equals=

nothing

sigma Subscript x overbarσx

equals=

nothing

​(Type integers or decimals. Do not​ round.)

​(b) Upper P left parenthesis x overbar greater than 84.15 right parenthesisP x>84.15equals=nothing ​(Round to four decimal places as​ needed.)

​(c) Upper P left parenthesis x overbar less than or equals 73.65 right parenthesisP x≤73.65equals=nothing ​(Round to four decimal places as​ needed.)

​(d) Upper P left parenthesis 78.6 less than x overbar less than 87.15 right parenthesisP 78.6<x<87.15equals=nothing ​(Round to four decimal places as​ needed.)

Answer 1