Suppose a random sample of size 34 is obtained from a population with population mean 30 and population standard deviation 4. What is the standard error of the sampling distribution of the sample average?

The standard error of the sampling distribution of the sample average is 0.6860.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation, also called standard error

In this problem, we have that:

What is the standard error of the sampling distribution of the sample average?

This is s when n = 34. So

The standard error of the sampling distribution of the sample average is 0.6860.