Question

Suppose the time it takes for a purchasing agent to complete an online ordering process is normally distributed with a mean of 8 minutes and a standard deviation of 2 minutes. Suppose a random sample of 25 ordering processes is selected. What is the standard deviation of the sampling distribution of mean​ times? (Round to one decimal place.)

Answer 1

Answer:  0.4

Step-by-step explanation:

We know that the standard deviation of the sampling distribution of mean​ is given by:-

$\sigma_x=\dfrac{\sigma}{\sqrt{n}}$

Given : Standard deviation : $\sigma= 2\text{ minutes}$

Sample size : n= 25

Then, the standard deviation of the sampling distribution of mean​ times will be :-

$\sigma_x=\dfrac{2}{\sqrt{25}}\\\\\Rightarrow\ \sigma_x=\dfrac{2}{5}=0.4$

Hence, the standard deviation of the sampling distribution of mean​ times=0.4