Answer: n = 267
Step-by-step explanation: <u>Margin</u> <u>of</u> <u>Error</u> shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.
It can be calculated as
margin of error = ![z\frac{s}{\sqrt{n} }](https://tex.z-dn.net/?f=z%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%20%7D)
in which
z is z-score related to the confidence interval, which is this case is 1.96;
s is standard deviation;
n is the number in a sample;
So, the number of mice must be:
margin of error = ![z\frac{s}{\sqrt{n} }](https://tex.z-dn.net/?f=z%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%20%7D)
![0.6=1.96\frac{5}{\sqrt{n} }](https://tex.z-dn.net/?f=0.6%3D1.96%5Cfrac%7B5%7D%7B%5Csqrt%7Bn%7D%20%7D)
![\sqrt{n}=\frac{1.96*5}{0.6}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%3D%5Cfrac%7B1.96%2A5%7D%7B0.6%7D)
![\sqrt{n}=16.33](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%3D16.33)
n = 267
<u>For the margin of error with 95% confidence interval be 0.6, it is needed </u><u>267 mice</u><u>.</u>