Question: (a) If we have a distribution of x values that is more or less mound-shaped and somewhat symmetric, what is the sample size needed to

(a) If we have a distribution of x values that is more or less mound-shaped and somewhat symmetric, what is the sample size needed to claim that the distribution of sample means x from random samples of that size is approximately normal?
(b) If the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means x taken from random samples of a given size is normal?

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