The heights of fully grown trees of a specific species are normallydistributed, with a mean of 53.0 feet and a standard deviation of 7.25 feet. Random samples of size 19 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.

The mean of the sampling distribution is x=

nothing

.

The standard error of the sampling distribution is x=

nothing

.

(Round to two decimal places asneeded.)

Choose the correct graph of the sampling distribution below.

A.

53.0

56.3

49.7

x

A normal curve is over a horizontal x overbar axis labeled from 49.7 to 56.3 in increments of 1.7 and is centered on 53.0. A vertical line segment extends from the horizontal axis to the curve at 53.0.

B.

0

2

-2

x

A normal curve is over a horizontal x overbar axis labeled from negative 2 to 2 in increments of 1 and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at 0.

C.

53.0

67.5

38.5