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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?

Respuesta :

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

[tex]S.E=\frac{\sigma }{\sqrt{n}}[/tex]

If n = 100 then consider [tex]\sigma =6[/tex]

[tex]S.E=\frac{6}{\sqrt{100}}=0.6[/tex].

If n= 225 then consider [tex]\sigma =6[/tex]

[tex]S.E=\frac{6}{\sqrt{225}}=0.4[/tex].

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

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