Question

The heights of fully grown trees of a specific species are normally​ distributed, with a mean of 76.5 ft and a standard deviation of 5.00 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 mu Subscript x over bar equals nothing. The standard error of the sampling distribution is sigma x over bar equals

Answer 1

The mean of the sampling distribution is = 76.5

The standard error of the sampling distribution is = s/sqrt(n)
= 5/sqrt(19)
= 1.1471