Let x be the mean of a sample selected from a population. Assume n/N ≤ 0.05. (a) What is the mean of the sampling distribution of ¯x equal to? (b) What is the standard deviation of the sampling distribution of ¯x equal to?
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The mean of the sampling distribution of the sample mean (denoted as ¯x) is equal to the mean of the population (denoted as μ). Therefore, the mean of the sampling distribution of ¯x is: \[ \text{Mean of } \bar{x} = \mu \] Show more…
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