Question
The ____ _____ of the sample mean, $\bar{x},$ is the probability distribution of all possible values of the random variable $\bar{x}$ computed from a sample of size $n$ from a population with mean $\mu$ and standard deviation $\sigma .$
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A sampling distribution is the probability distribution of a given statistic based on a random sample. It differs from a sample distribution, which is the distribution of the individual data points in a single sample. Show more…
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Suppose a simple random sample of size $n$ is drawn from a large population with mean $\mu$ and standard deviation $\sigma .$ The sampling distribution of $\bar{x}$ has mean $\mu_{\bar{x}}=$ ____ and standard deviation $\sigma_{\bar{x}}=$ ____.
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