Question

A population has a mean of μ = 50 and a standard deviation of σ= 12. For samples of size n = 16,

What is the mean (expected value) and the standard deviation (standard error) for the distribution of sample means?

Answer 1

The mean of the distribution of sample means is equal to the population mean. The standard deviation of the distribution of sample means can be calculated using the formula σx = σ / √n.

Step-by-step explanation:

The mean (expected value) for the distribution of sample means is equal to the population mean. In this case, the population mean (μ) is 50, so the mean of the sample means (μx) is also 50.

The standard deviation (standard error) for the distribution of sample means can be calculated using the formula σx = σ / √n, where σ is the population standard deviation and n is the sample size. Plugging in the values, we get σx = 12 / √16 = 12 / 4 = 3.