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0/1 pts The variability of the sampling distribution for the large sample will b

ID: 3053899 • Letter: 0

Question

0/1 pts The variability of the sampling distribution for the large sample will be bigger. You selected this answer. The distribution of Income for employees working at U.S. Bank is highly right-skewed. Consider taking a small (n5) and a large (n-500) sample to estimate the mean income. Which of the following is true about the variability of the corresponding sampling distributions? The variability of the sampling distribution for the large sample will be smaller The variability of the sampling distribution for the large sample will be bigger The variability of the sampling distribution for the large sample will be similar to that of the small sample

Explanation / Answer

The correct answer is The variability of the sampling distribution for large sample will be smaller.

This is due to "Weak Law of Large number" which suggests that the sample mean converges in probability to the population mean which implies that the variance tends to zero for large sample sizes which leads to the answer.