Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

The mean of a population being sampled is 64, and and the standard deviation is 6.
If the sample size is 50, the standard error of the mean is
. (Round off your answer to the nearest hundredth.)

Answer 1

The standard error of mean is 0.85

Explanation:

`(6)/(√(50) )= 0.848528137`

This rounds to 0.85

Answer 2

The standard error of the mean is 0.85

Explanation:

* Lets revise some definition to solve the problem

- The mean of the distribution of sample means is called the expected

value of M

- It is equal to the population mean μ

- The standard deviation of the distribution of sample means is called

the standard error of M

- The rule of standard error is σM = σ/√n , where σ is the standard

deviation and n is the size of the sample

* lets solve the problem

- The mean of a population being sampled is 64

∴ μ = 64

- The standard deviation is 6

∴ σ = 6

- The sample size is 50

∴ n = 50

∵ The standard error is σM = σ/√n

∴ The standard error is σM = 6/√50 = 0.8485

* The standard error of the mean is 0.85