Il possible samples of size n are selected from a population, and the mean o ne sample means? It is the population mean. It is larger than the population mean. It is smaller than the population mean. It cannot be estimated in advance.
Added by Matthew L.
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According to the Central Limit Theorem, the mean of the sample means is equal to the population mean. Show more…
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Key Concepts
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25. The sample mean is an estimate of the population mean. 26. To calculate the sample size required to estimate a population mean, we must know or estimate the standard deviation of the population distribution. 27. When estimating a population mean with a confidence interval, a smaller margin of error requires a larger sample size. 28. A confidence estimate states the range within which a population parameter probably lies. 29. The interval within which a population parameter is expected to lie is called a confidence interval. 30. The probability that an interval estimate includes the population parameter is called the confidence level.
Jerelyn N.
Consider the problem of estimating the mean value of a population, and imagine a large number of hypothetical samples each with size n. The population variance is σ2 . For each sample, we can calculate the mean. So we will have a large number of mean values. We can plot their distribution. What is the mean and the standard deviation of the distribution of sample means? Group of answer choices 1 its mean is equal to the population mean, its standard deviation depend son the confidence level. 2 its mean is equal to the population mean, its standard deviation is σn 3 its mean is 0, its standard deviation is 1
Adi S.
What is the mean of the sample means?
The Normal Distribution
The Central Limit Theorem
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
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