Question

The heights of fully grown trees of a specific species are normally​ distributed, with a mean of 78.5 feet and a standard deviation of 7.50 feet. Random samples of size 17 are drawn from the population. Use the central limit theorem​ (CLT) to find the mean and standard error of the sampling distribution. The mean of the sampling distribution is mu Subscript x overbarequals nothing. The standard error of the sampling distribution is Ooverbarre is

Answer 1

Solution :

Given that,

mean = = 78.5

standard deviation = = 7.50

n = 17

=78.5

= / n = 7.50 / 17 = 1.8190