Question

A sample is selected from a population with a mean of μ = 65 and a standard deviation of σ = 15. if the sample has n = 9 scores, what are the expected value of m and the standard error of m?

Answer 1

The Expected value of M is 65

The Standard error of M is 5

• The mean of the distribution of sample means is called the expected value of M.

• The standard deviation of the distribution of sample means is called the standard error of M.

Given,

The sample score, n = 9

The Standard deviation, σ = 15

Population mean, μ = 65

Then,

The Expected value of M = μ

∴ The Expected value of M = 65

The Standard error of M = σ/$\sqrt{n}$

                                          $=\frac{15}{\sqrt{9} } \\\\=\frac{15}{3} \\=5$

Learn more about Standard error and Expected value here: https://brainly.com/question/12792959

#SPJ4