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TEST III. Identify the sampling techniques illustrated in the following scenarios. a.) Kyle chose 10 samples from a population of 50 by assigning numbers to each member and then selecting the members whose assigned numbers are multiples of 5. b.) A researcher grouped the respondents according to religious affiliations and then chose proportional numbers of members from each religious group. c.) John conducted an online survey about the most preferred presidential candidate. d.) Annie asked some respondents to suggest other possible participants for the research. TEST IV. APPLICATIONS 1.) A random sample with size 16 is selected from a normally distributed population with a mean of 16 and a standard deviation of 3.2. What is the probability that the mean of the sample falls between 14 and 16? 2.) The average monthly income of teachers working in a public school is P 25 000 with standard deviation of P800. If a random sample of 15 teachers is selected, what is the mean, variance, and standard error of the corresponding distribution of the sample means? REFERENCES: . Albay, Eduard M. et. al. Statistics and Probability. Diwa Learning System, Copyright 2016. . Santos, Darwin C. Statistics, Salesiana Books - Don Bosco Press Inc., Copyright 2016. . PEAC MANUAL ON GENERAL MATHEMATICS . INTERNETWHAT I CAN DO (TRANSFER) You are a researcher and your thesis is due for an oral defence next month. Since sampling is a crucial factor which may lead to Inaccurate and invalid results, your thesis adviser obliged you to write a three - paragraph explanation that justifies why your sample Is the representative of the population and how it achieved normally. Your explanation should be clear, organized, coherent, and error free. WHAT I HAVE LEARNED TEST I: Identify whether the following examples refer to a population or a sample. a.) The total number of students in a school. b.) A group of 40 patients in a hospital who are given a particular treatment. c.) The ages of all employees of a certain company. d.) The top 50 taxpayers In the Philippines. e.) The list of all the countries In the world. TEST II. Identify the parameter and statistic used in the following situations. a.) A researcher wants to determine the mean electric consumption of the families in a barangay. From a random sample of 30 families, a mean consumption of 130 kwh was identified. b.) A school principal surveys the mean general weighted average (GWA) of the students in the present school year, From a group of 50 random students, a mean GWA of 86.75 is determined