Question

Suppose a simple random sample of size nequals36 is obtained from a population that is skewed right with mu equals 81 and sigma equals 6.

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

​(b) What is Upper P left parenthesis x overbar greater than 82.1 right parenthesis​?

​(c) What is Upper P left parenthesis x overbar less than or equals 78.5 right parenthesis​?

​(d) What is Upper P left parenthesis 79.9 less than x overbar less than 82.65 right parenthesis​?

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

A.

The distribution is approximately normal.

B.

The distribution is uniform.

C.

The distribution is skewed left.

D.

The distribution is skewed right.

E.

The shape of the distribution is unknown.

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

mu Subscript x overbar

equals

nothing

sigma Subscript x overbar

equals

nothing

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

​(b) Upper P left parenthesis x overbar greater than 82.1 right parenthesisequals

nothing ​(Round to four decimal places as​ needed.)

​(c) Upper P left parenthesis x overbar less than or equals 78.5 right parenthesisequals

nothing ​(Round to four decimal places as​ needed.)

​(d) Upper P left parenthesis 79.9 less than x overbar less than 82.65 right parenthesisequals

nothing ​(Round to four decimal places as​ needed.)

Answer 1