Question

Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is ​$240 with a standard deviation of ​$60. Random samples of size 35 are drawn from this population and the mean of each sample is determined.

Answer 1

Solution :

Given that,

mean = $\mu$ = 240

standard deviation = $\sigma$ = 60

n = 35

The sampling distribution of mean and standard deviation is ,

$\mu$ _{$\bar x$} = 240 and

$\sigma$ _{$\bar x$} = $\sigma$ / $\sqrt$ n = 60 / $\sqrt$ 35 = 10.1419