Probability of sample mean given population mean and standard deviation
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The statistic used to estimate the mean of a population, μ, is the sample mean, . If X has a distribution with mean μ, and standard deviation σ,
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The Sampling Distribution of the Sample Mean. If repeated random samples of a given size n are taken from a population of values for a quantitative variable, where the population mean is μ (mu) and the population standard deviation is σ (sigma) then the mean of all sample means (x-bars) is population mean μ (mu).
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