Asked by Lacey Johnson on Apr 28, 2024
Verified
The central limit theorem states that when an infinite number of random samples are drawn from a population, the sample means are approximately normally distributed with a mean equal to the ______ and a standard deviation equal to the ______ of the mean.
A) population mean; standard error
B) population mean; standard deviation
C) sample mean; standard error
D) sample mean standard deviation
Central Limit Theorem
Theorem stating that sample means are approximately normally distributed for an infinite number of random samples drawn from a population.
Population Mean
The average value of a population's characteristics.
- Acquire knowledge about the central limit theorem and understand its critical role in drawing inferences within statistics.
Verified Answer
ZK
Zybrea KnightMay 04, 2024
Final Answer :
A
Explanation :
The central limit theorem states that the distribution of sample means from a large sample (n>30) will be approximately normal, with a mean equal to the population mean and a standard deviation equal to the standard error of the mean (which is equal to the population standard deviation divided by the square root of the sample size). So, option A is the correct choice.
Learning Objectives
- Acquire knowledge about the central limit theorem and understand its critical role in drawing inferences within statistics.
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