Question: Let X1,X2,... denote an iid sequence of random variables, each with expected value 75 and standard deviation 15. (a) How many samples n do we

Let X1,X2,... denote an iid sequence of random variables, each with expected value 75 and standard deviation 15.
(a) How many samples n do we need to guarantee that the sample mean Mn(X) is between 74 and 76 with probability 0.99?
(b) If each Xi has a Gaussian distribution, how many samples n' would we need to guarantee Mn>(X) is between 74 and 76 with probability 0.99?

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