Question

The heights of fully grown white oak trees are normally distributed, with a mean of 90 feet and standard deviation of 4.2 feet. random samples of size 10 are drawn from this population, and the mean of each sample is calculated. the mean equals and standard error of the mean is

a.90 and 1.33

b.4.2 and 90

c.90 and 1.59

d.None of the above

Answer 1

The mean of the sampling distribution of the mean is equal to the population mean, and the standard error of the mean is equal to the population standard deviation divided by the square root of the sample size.

Step-by-step explanation:

In this question, we are dealing with the sampling distribution of the mean. The mean of a sampling distribution is equal to the population mean, and the standard error of the mean is equal to the population standard deviation divided by the square root of the sample size. Therefore, the mean equals 90 feet and the standard error of the mean is 4.2 / sqrt(10) = 1.33. Therefore, the correct answer is (a) 90 and 1.33.