Question

Determine mu x and sigma x from the given parameters of the population and sample size. mu=27, sigma=6 and n = 15

Answer 1

Solution :

Given that ,

mean = $\mu$ = 27

standard deviation = $\sigma$ = 6

n = 15

sample distribution of sample mean is ,

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

$\mu$_{$\bar x$} = 27

sampling distribution of standard deviation

$\sigma$_{$\bar x$} =$\sigma$  / $\sqrt$ n = 6/ $\sqrt$ 15

$\sigma$_{$\bar x$} = 1.5492