The mean of the distribution of sample means is equal to... the population mean the mean of the population times sigma the population variance the sample variance
Question
The mean of the distribution of sample means is equal to... the population mean the mean of the population times sigma the population variance the sample variance
Solution
The mean of the distribution of sample means is equal to the population mean. This is a principle known as the Central Limit Theorem in statistics. It states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will be true regardless of the shape of the population distribution. The mean of this distribution of sample means will be equal to the population mean.
Similar Questions
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