Question
A population of values has a normal distribution with μ=186.8 and σ=70.5. A random sample of size n=121 is drawn. What is the mean of the distribution of sample means?
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Answer to a math question A population of values has a normal distribution with μ=186.8 and σ=70.5. A random sample of size n=121 is drawn. What is the mean of the distribution of sample means?
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The mean of the distribution of sample means (often referred to as the sampling distribution of the sample mean) is equal to the population mean. This is a fundamental property of sampling distributions.
Given that the population mean (μ) is 186.8, the mean of the distribution of sample means will also be 186.8. Therefore, the mean of the distribution of sample means is 186.8.
Answer: 186.8
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