Suppose that X1, , Xn is a random sample from a n(, 2) population a If 2 is known, find a minimum value for n to guarantee that a 95 confidence interval for n will have length no more than 4 b If 2 is unknown, find a minimum value for n to guarantee, with probability 90, that a 95 confidence interval for n will have length no more than 4

Question: Suppose that X1,..., Xn is a random sample from a n(, 2) population. a. If 2 is known, find a minimum value for n to

Suppose that X1,..., Xn is a random sample from a n(μ, σ2) population.
a. If σ2 is known, find a minimum value for n to guarantee that a .95 confidence interval for n will have length no more than σ/4.
b. If σ2 is unknown, find a minimum value for n to guarantee, with probability .90, that a .95 confidence interval for n will have length no more than σ/4.

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a A 1 confidence interval for is 196n 196n We need 2196n 4 or n 42196 Thus we need n 64196 2 2459 ... View full answer

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