2. The researcher grouped the respondents according to religious affiliations and then chose proportional numbers of members from each religious group. 3. A teacher assigned class numbers of each student and then spun a number roulette to identify the members of the sample. 4. John conducted an online survey about the mostly preferred presidential candidate. 5. Annie asked respondents to suggest other possible participants for the research. C. Problem Solving: 1. A population consists of the five numbers 2, 3, 6, 8, and 11. Consider samples of size 2 that can be drawn from this population. List all the possible samples and the corresponding mean then construct the sampling distribution of the sample means (with frequency and probability. 2. A jar contains numbers 1,2,3, and 4. Construct the sampling distribution of the sample means when two numbers are taken with replacement? 3. A researcher is conducting a study about the effectiveness of using the algebra tiles in teaching factoring among the grade 8 students. He grouped the homogeneously according to their mathematical ability as shown below. How many members from each group will be included in the sample with size 40. Math Beginning Developing Approaching Proficient Advanced Total Ability Proficiency Group 18 50 130 17 15 230 Size # of Samples36 36 36 36 36 36 36 36 36 EVALUATION: A. Determine if the given subject is population or sample, then describe the given quantity as parameter or statistic. 1. The standard deviation of the life span of a specie endemic in the Philippines is 2.3 years. A specie endemic in the Philippines: Standard Deviation (2.3 years): (a) ( b ) 2. Based on the survey conducted to 1200 respondents, 1 out of 3 Filipinos can't live without cell phone. 1200 respondents: (c ) 1 out of 3 Filipinos can't live without cell phone: (d) 3. Based on the US National Hospital Discharge Record in 2010, the average length of stay of patients in US hospital is 4.8 days. Patients; (e) Average stay (4.8 days): (f ) 4. All the students in the senior high school department are surveyed about their heights and an average height of 65 inches was determined. All students in the SHS department: (g). Average height (65 inches): (h) B. Identify the sampling technique illustrated in the following scenarios. Write your answers on the space provided. 1, Kyle chose 10 samples from a population of 50 by assigning numbers to each member and then selecting the members whose assigned number are multiple of 5. HIGH SCHOOL DEPARTMENT 28