Question

6. Each of the following statements are true, except that A) increasing the sample size will decrease standard error B) the larger the sample size, the larger the standard error C) the larger the standard deviation in the population, the larger the standard error DVboth A and C D is incorrect E) both B and C

Answer 1

(6)- formula of standard error given as follows:-

S.E.= $\sigma$ /√n

where $\sigma$ =standard deviation

and n=sample size

from above formula we clearly see that standard error directly proportional to standard deviation and inversely proportional to square root of sample size .

hence we can conclude that on increasing standard deviation S.E. increases.and on increasing sample size it decreases

so option (B) is incorrect

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