RANDOM SAMPLING

PARAMETER AND STATISTICS

Read and analyze each question and write your answer on the table above. 1. Which of the following is NOT a distinguishing feature of simple random sampling? A. Each element in the population has an equal probability of being selected. B. Random numbers selected to decide which elements are included as the sample. C. Each element has a unique identification. D. Sample are selected based on the subjective judgment of the researcher. 2. Which of the following symbol is a parameter? A. X B. S C. H D. s'3. How many possible of size n = 3 can be drawn from a population of size 12? A. 36 B. 144 C. 220 D. 1728 A. Which of the following statements is CORRECT? A. The mean of the sampling distribution of the means is less than the population mean. B. The mean of the sampling distribution of the sample means is greater than the population mean C. The mean of the sampling distribution of the sample means is equal to the population mean. D. The mean of the sampling distribution of the sample means may be equal, greater than or less than the population mean. 5. In the Central Limit Theorem, what happens to the distribution if the sample size becomes larger? A. left skewed B. rectangular C. right skewed D. normal 6. Which of the following is the mean of the sample means from the given table below? 1.50 2.00 2.50 3.00 3.50 4.00 4.50 0.1 0.1 P(X) 0.1 0.1 0.2 0.2 0.2 A. 2 B. 3 C. 4 D. 5Part II: Modified True or False Write the word SAMPLING DISTRIBUTION for each correct statement below, otherwise change the underlined word or phrase to make the statement correct. 7. The standard error of the mean is directly proportional to the number of samples. 8. According to the 2020 census, has a population of 156, 321 people in which 9, 152 of them are living in Barangay Based from the given data, 9, 152 is represents a statistic 9 If the population size is known, the formula for the variance is orPart III: Problem Solving Solve the following problems. Show your solutions. 11. The scores of individual students on a national test have a normal distribution with mean 18.6 and a standard deviation of 5.9. At Banaba High School, 76 students took the test. If the scores of this school is the same distribution as the national scores, what is the standard deviation of these 76 students? For numbers 12-13, refer to the problem below. The average precipitation for the first 7 months of the year is 19.32 inches with a standard deviation of 2.4 inches. Assume that the average precipitation is normally distributed. 12. What is the probability that a randomly selected year will have a precipitation greater than 18 inches for the first 7 months? 13. What is the average precipitation of 5 randomly selected years for the first 7 months