Question

question 3 2 pts match the following to the correct description. distribution of sample means approaches a normal distribution as n approaches infinity choose central limit theorem variability of a distribution of sample means sampling error law of large numbers the larger the sample size, the more probable is that the sample mean will be close to the population mean standard error the discrepancy between the sample statistic and population parameter choose

Explanation:

The Central Limit Theorem states that the distribution of sample means approaches a normal distribution as the sample - size n approaches infinity. The variability of a distribution of sample means is related to the standard error. The Law of Large Numbers says that the larger the sample size, the more probable it is that the sample mean will be close to the population mean. Sampling error is the discrepancy between the sample statistic and population parameter.

Answer:

1. Distribution of sample means approaches a normal distribution as n approaches infinity: Central Limit Theorem
2. Variability of a distribution of sample means: Standard error
3. The larger the sample size, the more probable is that the sample mean will be close to the population mean: Law of Large numbers
4. The discrepancy between the sample statistic and population parameter: Sampling error