Answer to Question #342711 in Statistics and Probability for kayde

Question

Four students took an exam in mathematics and got the following scores: 7, 12, 19, and 21. What is the mean of the sampling distribution of the sample mean with a sample size of 2?

Answer 1

The population mean:

$\mu=\cfrac{7+12+19+21}{4}=14.75.$

The mean of the sampling distribution of sample means:

$\mu_{\bar x} =\mu=14.75.$