Suppose a simple random sample of size n=81 is obtained from a population with =79 and =9.

(a) Describe the sampling distribution of x.

(b) What is Px>80.15?

(c) What is Px76.7?

(d) What is P77.65

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

A.

The distribution is uniform.

B.

The distribution is skewed right.

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.

x

=

nothing

x

=

nothing

(b) Px>80.15=

nothing

(Round to four decimal places asneeded.)

(c) Px76.7=

nothing

(Round to four decimal places asneeded.)

(d) P77.65

nothing

(Round to four decimal places asneeded.)