Enrichment Activity 2 . Multiple Choice: Choose the best answer in each question. Write the letter of your choice on your answer sheet. (3 points each) Used the scoring rubrics below to rate your work. For numbers 1 - 4, refer to the problem below. (3 points each) Suppose that a random sample of size 64 is to be selected from a population with a mean 40 and standard deviation 5 What is the population mean? A. 5 B. 25 C. 30 D. 40 2. What is the standard deviation of the sampling distribution? A. 0.625 B. 2.10 C. 21.5 D. 22.5 3. What is the approximate probability that x will be within 0.5 of the population mean u? A. 31.5% B. 32.80% C. 57.62% D. 75.57% 4. What is the approximate probability that x will differ from / by more than 0.7? A. 26.27% B. 34.23% C. 39.3% D. 40.7% For numbers 5 - 7, refer to the problem below. (3 points each) The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.05 and a standard deviation of 0.29. Find the probability that the mean GPA of a random sample of 20 students selected from this university is: 5. less than 298? A. 12.58% B. 14.01% C. 15.62% D. 85.23% 6. greater than 3.01? A. 19.32% B. 22.41% C. 55.56% D. 73.24% 7. between 2.90 and 3.07? A. 62.17% B. 61.13% C. 42.34% D. 1.04% SA May of Home Bringing our school closer to your home... For numbers 8-10, refer to the problem below. (3 points each) Assume that woman's heights are normally distributed with a mean given by # = 62.3 inches and a standard deviation o = 1.8 inches. 8. If a woman is randomly selected, find the probability that her height is between 61.7 inches and 62.7 inches? A. 20.75% B. 72% C. 21.64% D. 86.65% 9. If a sample of 16 women is selected, what is the probability that the mean of the sample will be larger than 63.2 inches? A. 19.32% B. 15.56% C. 4.75% D. 2.28% 10. If a sample of 16 women is selected, what is the probability that the mean of the sample will be less than 63.2 inches? A. 97.72% B. 41.56% C. 28.74% D. 16.67%Enrichment Activity 2 . Multiple Choice: Choose the best answer in each question. Write the letter of your choice on your answer sheet. (3 points each) Used the scoring rubrics below to rate your work. For numbers 1 - 4, refer to the problem below. (3 points each) Suppose that a random sample of size 64 is to be selected from a population with a mean 40 and standard deviation 5 What is the population mean? A. 5 B. 25 C. 30 D. 40 2. What is the standard deviation of the sampling distribution? A. 0.625 B. 2.10 C. 21.5 D. 22.5 3. What is the approximate probability that x will be within 0.5 of the population mean u? A. 31.5% B. 32.80% C. 57.62% D. 75.57% 4. What is the approximate probability that x will differ from / by more than 0.7? A. 26.27% B. 34.23% C. 39.3% D. 40.7% For numbers 5 - 7, refer to the problem below. (3 points each) The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.05 and a standard deviation of 0.29. Find the probability that the mean GPA of a random sample of 20 students selected from this university is: 5. less than 298? A. 12.58% B. 14.01% C. 15.62% D. 85.23% 6. greater than 3.01? A. 19.32% B. 22.41% C. 55.56% D. 73.24% 7. between 2.90 and 3.07? A. 62.17% B. 61.13% C. 42.34% D. 1.04% SA May of Home Bringing our school closer to your home... For numbers 8-10, refer to the problem below. (3 points each) Assume that woman's heights are normally distributed with a mean given by # = 62.3 inches and a standard deviation o = 1.8 inches. 8. If a woman is randomly selected, find the probability that her height is between 61.7 inches and 62.7 inches? A. 20.75% B. 72% C. 21.64% D. 86.65% 9. If a sample of 16 women is selected, what is the probability that the mean of the sample will be larger than 63.2 inches? A. 19.32% B. 15.56% C. 4.75% D. 2.28% 10. If a sample of 16 women is selected, what is the probability that the mean of the sample will be less than 63.2 inches? A. 97.72% B. 41.56% C. 28.74% D. 16.67%