If the sampled population is finite and at least _____ times larger than the sample size,the standard deviation of decreases as the sample size increases.
A)5
B)20
C)30
D)10

Question

If the sampled population is finite and at least _____ times larger than the sample size,the standard deviation of  decreases as the sample size increases.
A)5 
B)20 
C)30 
D)10

Quizplus · Accepted Answer

As the sampled population is finite, increasing the sample size also increases the proportion of the population being sampled, resulting in a decreased standard deviation. The finite population correction factor should be applied when the sampled population is less than 20 times the sample size. Therefore, if the population is at least 20 times larger than the sample size, the standard deviation will decrease as the sample size increases. Among the given options, only choice B meets this criterion.

If the Sampled Population Is Finite and at Least _____