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QUESTION

3) Consider randomly sampling from a theoretical normal distribution (and remember symmetry implications).

3) Consider randomly sampling from a theoretical normal distribution (and remember symmetry implications).

a.  What is the probability that observations from a sample size of  will both have values above the mean? (1 pt.).

b.  What is the probability that observation from a sample size of  will all have values above the mean? (1 pt.).

c.  What is the probability that observations from a sample size of  will all have values above the mean? (1 pt.).

4)  How do the answers to question 3 provide insight into the fact that the standard error of a sampling distribution decreases with sample size?

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