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Question: What is the standard deviation (σx) of the sampling distribution for a sample of 6, when the standard deviation of the target population is 21?


A ) 1.31
B ) 3.5
C ) 0.29
D ) 8.57

Steps to derive

1 The relationship between the standard deviation of the sampling distribution, and the standard deviation of the target population is σx = σn

2 σx = 216 = 8.57
 [Substitute σ = 21, n = 6 and simplify.]

3 So, the standard deviation (σx) of the sampling distribution for a sample of 6 is 8.57.



Hence the right answer is Option D

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