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IQs of individuals are normally distributed with a mean of 100 and a standard deviation of...

IQs of individuals are normally distributed with a mean of 100 and a standard deviation of 16.

If you sampled students at your college and assumed, as the null hypothesis, that they had the same IQ as the population, then in a random sample of size

(a) n = 25, find P(Y bar < 105)

(b) n = 100, find P(Y bar > 97)

(c) n = 144, find P(101< Y bar < 103)

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