Answer the following

Online Testing Because of the immediate suspension of classes nationwide due to the COVID-19 pandemic, many schools opted to give the final examination online. The scores on a certain exam are normally distributed with a mean of 65 and a standard deviation of 9. Find the probability of the score a. less than 54b. at least 80 / f__________________.-----_ c. The average age of the ABS CBN employees is known to be 32 years and the standard deviation is 5 years. Find the probability that a random sample of 36 employees will have an average age of less than 30- years. ' - _____________#'_"h l _'_____________________'- _______________________________-~ d, As a response to the personal, social and psychological impact of COVID-19; . Ateneo, De Manila University President Fr; Jett Villarin, S.J. declared in a ' memorandum, ~ the suspension of online classes during the Enhanced Community Quarantine measures of the government. With this memorandum, some schools reacted positively and some the other way around. If you are the president of a certain university, will you do the same thing? Cite three reasons or less for your answer. , _______________' _______________.__----- _______________.- I paper. For numbers 1-4, refer to the problem below. A mayor of a certain town in Quezon province procures a number of face masks from different private distributors. He found out that the mean pore size of all face masks is 40 um and standard deviation of 5 um. Assume that the distribution is normally distributed, and 64 samples face masks were taken. 1. What is the mean of the sampling distribution? A. 64 B. 40 C. 8 D. 5 2. Which of the following is the standard deviation of mean sampling distribution? A. 12.8 B. 1.6 C. 0.625 D. 0.078 3. The sampling distribution of 64 sample face masks falls under what kind of distribution? A. exponential B. normal C. uniform D. straightA. 95 4. Which of the following shows the computed standard error of the mean? B. 8 C. 0.625 D. 0.078 5. The population of Senior High School learners in Mapayapa Integrated School has a mean of 54.5 and a standard deviation of 8.6. If a sample of size 12 is taken at random from this population, which of the following statements is correct? to 54.5. A. The mean of the sampling distribution of the sample mean is equal B. The mean of the sampling distribution of the sample mean is less than 54.5 C. The standard deviation of the sampling distribution of the sampling mean is 8.6. D. The standard deviation of the sampling distribution of the sampling mean is 54.5. 6. Taken from the same population, which sample size will give a smaller standard error of the mean? A. 35 B. 18 C. 12 D. 9 7. Standard error is always non-negative. A. true B. false C. maybe D. not sure 8. Which is NOT true about the standard error? A. The standard error is also the sampling error. B. The standard error is the approximate standard deviation of a statistical sample population. C. The more data points involved in the calculations of the mean, the smaller the standard error tends to be. D. The standard error can include the variation between the calculated mean of the population and one which is considered known, or accepted as accurate. For numbers 9 - 12, refer to the problem below. A certain condominium in Manila has 35 floors. Each floor has 2 elevators. In every elevator there is a sign inside stating a limit of 16 persons and a weight limit of 2500 pounds. The average weight of the condominium residents is 150 pounds with a standard deviation of 27 pounds. Assume that the weight distribution is approximately normal and 16 persons from the condominium are to be taken as samples. 9. What is the expected value of the weight distribution of the sample mean? A. 27 B. 35 C. 150 D. 250010. What is the standard deviation of the weight distribution 0f the 88mm: mean? A. 16.7 B. 14.5 C. 6 75 D. 0.06 ' 11. Which of the following average weight of 16 sample residents will reach the limit of an elevator's carrying capacity of 2500 pounds? A. 156. 25 , B. 16.67 C. 200.05 D. 180.12 ' 12. What' 1s the probability that a random sample of 16 people will exceed the weight limit capacity of an elevator? _ A 21% , B. 17% C. 13% ._ D. 14% 13. If a sample came from a given population, then the mean of the sampling distribution of the sample must be equal to___ A. mean of population B. sample of population C. variance of population . , D. standard deviation of population . 14. Which of the following cases is the sample size considered large? A. n > 30 , B. n 2 50 C. n