Let X be an arbitrary random variable with mean and standard deviation o. Let X be its sample distribution for n = 100 sample size. 1. What is the expected value of the sample distribution in terms of μ? 2. What is the standard error of the sample distribution in terms of o?

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Let X be an arbitrary random variable with mean μ and standard deviation o. Let X be its sample distribution for n = 100 sample size.
1. What is the expected value of the sample distribution in terms of μ?
2. What is the standard error of the sample distribution in terms of o?
3. What is the intuition behind why the standard error of $\Xbar$ is less than the standard deviation of X?
Transcribed Image Text:Let X be an arbitrary random variable with mean μ and standard deviation o. Let X be its sample distribution for n = 100 sample size. 1. What is the expected value of the sample distribution in terms of μ? 2. What is the standard error of the sample distribution in terms of o? 3. What is the intuition behind why the standard error of $\Xbar$ is less than the standard deviation of X?
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