random sample of 150 young professionals, what is the probability that the mean outstanding credit card balance does not exceeds Php12, 300? 2022.03.10 01:31 POST-TEST # 7 Central I Limit Theorem Post test 1. The value of the standard deviation of the sampling distribution of the mean is always greater than the standard deviation of the population. a. True b. false c. Maybe GRADE 11 Page 682022. HMATH12 [STATISTICS AND PROBABILITY] c. 0.00 d. more information is needed 10-12. 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 13-15. A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years. The ages are normally distributed. What is the probability that a randomly selected student is older than 16.5 years old? a. 0.864 b. 0.879 c. 0.121 d. None of these 16. These symbols represent the mean and standard deviation for which of the following distributions? o andy a. The Population b. The Sample c. The Sampling Distribution d. None of these 17. True or False: As the sample size n increases without limit, the shape of the distribution becomes less normal. a. True b. False 18-20. Suppose the teenagers that attend public high schools get an average of 5.7 hours of sleep each night with a standard deviation of 1.7 hours. What is the probability that a randomly selected group of 35 high school students get more than 6 hours of sleep each night? a. 0.430 b. 0.148 C. 0.281 d. 0.087 GRADE 11 Page 70[STATISTICS AND PROBABILITY] HMATH12 . Another name for the standard deviation of a distribution of means is the standard error of the mean. a. True b. false c. Maybe 3. The central limit theorem applies to all inferential statistics. a. True b. false c. Maybe 4. The central limit theorem states that the mean of the sampling distribution of the mean is equal to the population a. mean b. standard deviation. c. standard deviation divided by the square root of N. d. mean divided by the population standard deviation. 5. 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 score 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 7-9. 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