Question

Question 2 (1 point)

Suppose you take a sample of size 4 from a population with a mean of 70 and a standard deviation of 10. Based on such a sample, what are the mean and standard deviation of the sampling distribution of the sample mean?

Question 2 options:

	70; 5
	17.5; 10
	70; 2.5
	17.5; 5
	Cannot be determined if sample size is not at least 30

Answer 1

Solution :

Given that ,

mean = $\mu$ = 70

standard deviation = $\sigma$ = 10

n = 4

$\mu$_{$\bar x$} = 70

$\sigma$_{$\bar x$} =$\sigma$  / $\sqrt$ n = 10/ $\sqrt$ 4=5

correct answer =

70; 5