Question

a random sample size 15 was taken from a normaly distributed pop with a mean of 26 and standard deviation of 6

mu x bar

sigma x bar

can we conclude the sampling distribution of the sample mean is normal

Answer 1

Solution :

Given that,

mean = $\mu$ = 26

standard deviation = $\sigma$ = 6

n = 15

$\mu$_{$\bar x$} = $\mu$ = 26

$\sigma$_{$\bar x$} = $\sigma$ / $\sqrt$ n = 6 / $\sqrt$ 15 = 1.5492

Yes. the sampling distribution of the sample mean is normal.