1. The Central Limit Theorem states that if a population is (approximately) normal OR the sample size is greater than or equal to , then the associated sampling distribution is approximately normal. a. 30 b. 20 c. 500 d. 80 2. Which of the following gives the standard deviation of a sampling distribution? a. o/Vn b. o c. o/(n-1) d. o/[ (Vn)-1 ] 3. Which sample size for a sampling distribution will have the smallest standard deviation? a. n = 10 b. n = 200 c. n = 400 d. n = 1000 4. The central limit theorem tells us that as sample size increases the sampling distribution of the mean becomes a. less normally distributed but more leptokurtic b. more normally distributed with larger range of scores c. more shaped like the population distribution d. more normally distributed with a smaller range of scoreHMATH12 [STATISTICS AND PROBABILITY) 5. If a sample of n=100 is taken from a population whose standard deviation is 100, then the standard error of the mean equals: a. 10,000 b. 100 c. 10 d. 1,000 6. If a sample of n=100 is taken from a population whose standard deviation is 100, then the standard error of the mean equals: a. 10,000 b. 100 C. 10 d. 1,000 7-8. The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0. Suppose 36 golfers played the course today. Find the probability that the average score of the 36 golfers exceeded 71. a. 0.0228 b. 0.3694 c. 0.00 d. more information is needed 9-10. The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. What is the standard error of the sampling distribution? a. 400 b. 40 C. 25 d. 8