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Describe how the variability of the x bar distribution changes as the sample size increases.

Describe how the variability of the x bar distribution changes as the sample size increases.
Math   Statistics-And-Probability   
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Answer #1

The variability of the x bar distribution is given by:

Now according to the above equation, as the sample size increases the variability would decrease.

This is logically expected too. As we increase the sample size and the sample tends to the population, the variability in the sample mean would decrease as it would come closer and closer to the actual population mean.

Let me know in comments if anything is not clear. Will reply ASAP. Please do upvote if satisfied.

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