Answer the following:

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. straight 251 /A. 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 than 54.5 B. The mean of the sampling distribution of the sample mean is less 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. 2500 252A. 156.25 B. 16.67 C. 200.05 D. 180. 12 ' . 12. What is the probability that a random sample of 16 mph:- w111 exceed the Weight limit capacity of an elevator? A. 2 1% 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 ..>_ 50 C. n S 30 D. n S 50 . 15. A population has a mean of 50 and a standard deviation of 6. What are the mean and the standard deviation of the sampling distribution of the mean for n = 16? A. J? = 50, ss 25 B. I? = 50, 3 =1.5 C. X' = 25, s = 6 D. )7 = 25, s = 1. The formula used when dealing with an individual or single data obtained from the population is while the formula to be used when dealing with data about the sample mean or n observations is The mean of the sampling distribution of the sample mean is equal to the Hx = H The of the sampling distribution of x is equal to of = - Vn' Given a normal or sampling distribution, the probability of a random variable (X) or sample mean (X) can be calculated depending on the following cases: Case 1. For "less than" problem, The probability is equal to the area that corresponds to z value. Case 2. For "greater than" problem, The probability is equal to 1 minus the area that corresponds to z value. Case 3. Of "between" problem, The probability is equal to the difference of the larger and smaller area. Remember that we do not subtract the z value to get the probability. We only subtract the areas under the normal curveOnline 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. , _______________' _______________.__----- _______________