Consider a random variable

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Consider a random variable X ∼ N (8, 16).

(a) If X ¯ is the sample mean obtained from a random sample of 25 draws from this population, how is X ¯ distributed? Hint: a correct answer is more than just the name of the distribution.

(b) What is the probability of obtaining an X ¯ more than 2 standard deviations from the mean?

Reference no: EM13998744

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