Suppose a researcher is studying a population that has a mean of μ=38.6 and a standard deviation of σ=1.1. The researcher studies a simple random sample of size n = 200. According to the central limit theorem, what is the approximate standard deviation of the sampling distribution of the mean? Round the answer to the nearest thousandth if needed.

The approximate standard deviation of the sampling distribution of the mean is 0.078

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

In this problem, we have that:

.

According to the central limit theorem, what is the approximate standard deviation of the sampling distribution of the mean?

The approximate standard deviation of the sampling distribution of the mean is 0.078

step-by-step explanation:

goog be able to you with that maybe

126 maybe. sorry