Question

Compute for the standard error of the mean given the population variance and the sample size. Show your complete solutions.3.1. 𝜎" = 20.50; 𝑛 = 33.2. 𝜎" = 13.18; 𝑛 = 5 

Answer 1

3.1 $\sigma''=20.5, n=3$

standard error of the mean $=\sqrt{\sigma'' n}$

$=\sqrt{20.5\times 3} \\=\sqrt{61.5}=7.84$

3.2 $\sigma''=13.18, n=5$

standard error of the mean $=\sqrt{\sigma'' n}$

$=\sqrt{13.18\times 5}\\ =\sqrt{65.9}=8.11$