A report announced that the median sales price of new houses sold one year was $221,000, and the mean sales price was $271,400. Assume that the standard deviation of the prices is $100,000. Complete parts(a) through(d) below.

(a)

If you select samples of n=2, describe the shape of the sampling distribution of X.

Choose the correct answer below.

A.

The sampling distribution will be approximately normal.

B.

The sampling distribution will be approximately uniform.

C.

The sampling distribution will depend on the specific sample and will not have a constant shape.

D.

The sampling distribution is skewed to theright, but less skewed to the right than the population.

(b)

If you select samples of n=100, describe the shape of the sampling distribution of X.

Choose the correct answer below.

A.

The sampling distribution is skewed to theright, but lessed skew to the right than the population.

B.

The sampling distribution will be approximately uniform.

C.

The sampling distribution will be approximately normal.

D.

The sampling distribution will depend on the specific sample and will not have a constant shape.

(c)

If you select a random sample of n=100, what is the probability that the sample mean will be less than $290,000?

The probability that the sample mean will be less than $290,000 is

nothing

.

(Round to four decimal places asneeded.)

(d)

If you select a random sample of n=100, what is the probability that the sample mean will be between $280,000 and $295,000?

The probability that the sample mean will be be between $280,000 and $295,000 is

nothing

.

(Round to four decimal places asneeded.)