Question

A random sample of size 12 was taken from a normally distributed population with a population mean 28 and a population standard deviation 4. Determine each of the following about the sampling distribution of the sample mean. Round your answer to at least 3 decimal places where appropriate. a) un Number b) 0 = Number c) Can we conclude that the sampling distribution of the sample mean is normal? Click for List

Answer 1

Solution :

Given that ,

mean = $\mu$ = 28

standard deviation = $\sigma$ = 4

n = 12

$\mu$_{$\bar x$} = 28

$\sigma$_{$\bar x$} =$\sigma$  / $\sqrt$ n = 4/ $\sqrt$ 12=1.155