Answer: 5
Step-by-step explanation:
We know that the standard deviation of the sampling distribution of the means is given by :_
[tex]SE=\sigma_x=\dfrac{\sigma}{\sqrt{n}}[/tex]
Given : The average weekly earnings for employees in general automotive repair shops is[tex]\mu=\ $450[/tex].
The standard deviation for the weekly earnings for such employees =[tex]\sigma= \$50.[/tex]
Now, the standard deviation of the sampling distribution of the means of average weekly earnings for samples of size[tex]n=100[/tex]:-
[tex]SE=\sigma_x=\dfrac{50}{\sqrt{100}}\\\\\Rightarrow\ SE=\dfrac{50}{10}\\\\\Rightarrow\ SE=5[/tex]
Hence, the standard deviation of the sampling distribution of the means of average weekly earnings for samples of size 100 = 5
