Question

This Question: 1 pt 1 of 9 (0 complete) Determine , and o- from the given parameters of the population and sample size. p=78.0=21, n=37 (Round to three decimal places as needed.)

Answer 1

Given that, mean (μ) = 78

population standard deviation $(\sigma)$ = 21 and sample size (n) = 37

The mean and standard deviation of the sampling distribution of sample means are,

$\\ \mu_{\bar x } = \mu = 78 \\\\ => \mu_{\bar x } = 78$

$\\ \sigma_{\bar x } = \frac {\sigma}{\sqrt n } = \frac { 21}{\sqrt {37}} = 3.452 \\\\ => \sigma_{\bar x } = 3.452$