Question: Let Y denote a random variable with mean = 57 and standard deviation = 24. a. (2 points) If we were to take a random

Let Y denote a random variable with mean = 57 and standard deviation = 24.

a. (2 points) If we were to take a random sample of n = 14 of these random variables, what is the sampling distribution of the sample mean Y bar? Please comment on the distribution, in particular its mean and standard error.

b. If we were to take a random sample of n = 81 of these random variables, what is the sampling distribution of the sample mean Y bar? Please comment on the distribution, in particular its mean and standard error.

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