Question

Consider two x distributions corresponding to the same x distribution. The first x distribution is based on samples of size n = 100 and the second is based on samples of size n = 225. Which x distribution has the smaller standard error?

Answer 1

Answer:

Hence the correct option is the distribution with n = 225 will have a smaller standard error.

Step-by-step explanation:

Now the standard deviation is

$S.E=\frac{\sigma }{\sqrt{n}}$

If n = 100 then consider $\sigma =6$

$S.E=\frac{6}{\sqrt{100}}=0.6$.

If n= 225 then consider $\sigma =6$

$S.E=\frac{6}{\sqrt{225}}=0.4$.

Here the distribution with n = 225 will have a smaller standard error.