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A normally distributed population has a mean of 40 and a standard deviation of 12. What does the central limit theorem say about the sampling distribution of the mean if samples of size 100 are drawn from this population? 9.6 Refer to Exercise 9.5. Suppose that the population is not normally distributed. Does this change your answer? Explain. 9.7 A sample of n = 16 observations is drawn from a normal population with µ = 1,000 and s = 200. Find the following. a. P(X > 1,050) b. P(X < 960) c. P(X > 1,100) 9.8 Repeat Exercise 9.7 with n = 25.
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