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158 CHAPTER5 SOME IMPORTANT SAMPLING DISTRIBUTIONS REVIEW QUESTIONS AND EXERCISES 1. What is a sampling distribution? 2. Explain how a sampling distribution may be constructed from a finite population. 3. Describe the sampling distribution of the sample mean when sampling is with replacement from a normally distributed population. 4. Explain the central limit theorem. 5. How does the sampling distribution of the sample mean, when sampling is without replacement. differ from the sampling distribution obtained when sampling is with replacement? 6. Describe the sampling distribution of the difference between two sample means. 7. Describe the sampling distribution of the sample proportion when large samples are drawn. 8. Describe the sampling distribution of the difference between two sample means when large samples are drawn. 9. Explain the procedure you would follow in constructing the sampling distribution of the difference between sample proportions based on large samples from finite populations. 10. Suppose it is known that the response time of healthy subjects to a particular stimulus is a normally distributed random variable with a mean of 15 seconds and a variance of 16. What is the probability that a random sample of 16 subjects will have a mean response time of 12 seconds or more