The heights of fully grown trees of a specific species are n

The heights of fully grown trees of a specific species are normally distributed, with a mean of 51.5 feet and a standard deviation of 6.25 feet. Random samples of size 20 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution.

1)mean of the sampling distribution

2 standard error of the sampling distribution

Solution

(1) mean=51.5

(2) standard error =s/vn

= 6.25/sqrt(20)

=1.397542