Question

The two curves below represent the sampling distribution of the sample mean X for two different sample sizes: n = 256 and n = 576.

In both cases the samples are selected from the same population.

Note that the standard deviation for sampling distribution A is SD(X) = 8 and for sampling distribution B the standard deviation is SD(X) = 12.

What is the standard deviation SD(X) of the population from which the samples are taken?

A-8^2

B-(12+8)/2

C-13.86

D-12^2

E-192

Answer 1

utions, let population Standard deriation be s Now, to too B, n=256 88 for An= 576 a = 8 r = 12 & Because larger shon scomple gives smallery I standard error 3 12 - Vic 256 [192] 192 1992] Hence, SE =192