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Suppose a simple random sample of size nequals=81 is obtained from a population with mu equals...

Suppose a simple random sample of size

nequals=81

is obtained from a population with

mu equals 84μ

and

sigma equals 27σ.

​(a) Describe the sampling distribution of

x overbarx.

​(b) What is

Upper P left parenthesis x overbar greater than 88.05 right parenthesisP x>88.05​?

​(c) What is

Upper P left parenthesis x overbar less than or equals 78 right parenthesisP x≤78​?

​(d) What is

Upper P left parenthesis 81 less than x overbar less than 90.3 right parenthesisP 81<x<90.3​?

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

x overbarx.

A.

The distribution is uniform.

B.

The distribution is approximately normal.

C.

The distribution is skewed left.

D.

The distribution is skewed right.

E.

The shape of the distribution is unknown.

math   Statistics-And-Probability   
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