Question: 1.Given a normal distribution with = 100 and = 12, a sample of = 36 is drawn at random. a.What is the probability that the

1.Given a normal distribution with = 100 and = 12, a sample of = 36 is drawn at random.

a.What is the probability that the sample mean will fall above 99?

b.What proportion of the sample means will have a value less than 95?

2.The Wehsler IQ test is normally distributed and has a known = 100 and a = 15. A sample of = 25 is drawn at random.

a.The probability is .04 that the mean of the sample will be below what value?

b.What middle range of sample IQs will be expected to occur 95% of the time?

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