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The heights of fully grown trees of a specific species are normally distributed,

ID: 3293079 • Letter: T

Question

The heights of fully grown trees of a specific species are normally distributed, with a mean of 76.5 feet and a standard deviation of 6.00 feet. Random samples of size 19are 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 mea of the sampling distribution is ? and the standard error of the sampling distriubtion? IF USING A CALCULATOR CAN< PLEASE EXPLAIN THE PROCESSES.

Explanation / Answer

(1) mean=X = =76.5

The mean of the sampling distribution is 76.5

(2) standard error =s/vn

= 6.00/sqrt(19)

=1.3764

the standard error of the sampling distriubtion is 1.3764