898 V. EVALUATION Test l. Modified True or False (5 points) Directions: For each item, write TRUE if the statement is true and if false, change the underlined word(s) to make the statement true. Write your answer on the space provided each number. ( point each) 1.Sampling technique refers to the process of collecting data about the population by selecting a sample. 2. The chosen representatives of the population make up the population. 3. A summary measure about the sample is called Statistics 4. The sampling procedure affects the results of the data gathered and the results of the research. The chosen representatives of the population make up the population. 5. The population mean and population proportion are examples of parameters. Test Il. Random Sampling Techniques (5 points) Directions: Identify the sampling method being used in each scenario. Write your answer on the space provided each number. (1 point each) 1. A sample of 2,000 was sought to estimate the average achievement in science of fifth graders in a city's public schools. The average fifth grade enrolment in the city's elementary schools is 100 students. Thus, 20 schools were randomly selected and within each of those schools all fifth graders were tested. 2. A researcher is interested in maximum-security inmates. She groups inmates by the type of crime committed, determines the percentage of the total in each crime category, and uses that percentage to determine the number of inmates randomly selected from each group. 3. A researcher has a population of 100 third grade children from a local school district from which a sample of 25 children is to be selected. Each child's name is put on a list, and each child is assigned a number from 1 to 100. Then the numbers 1 to 100 are written on separate pieces of paper and shuffled. Finally, the researcher picks 25 slips of paper and the numbers on the paper determine the 25 participants. MAT 112 | 68V. EVALUATION 8986 ided 4. Instructors teaching research methods are interested in knowing what study techniques their students are utilizing. Rather than assessing all students, the researchers randomly about select 10 students from each of the sections to comprise their sample. the 5. A researcher is interested in maximum-security inmates. She groups maximum-security prisons by state, randomly selects 10 states, and, from those 10, selects three prisons. She and includes all the inmates in those three prisons in her sample. the S of Test Ill. Parameter and Statistic (4 points) Directions: In each item, identify the parameter and the statistic. Write your answer on the space provided each number. (2 points each) 1. A researcher estimates that the average farm size in the Philippines is 800 acres. From a simple random sample of 50 farms, the researcher obtains a sample mean farm size of 845 acres. fth I's in 2. A researcher estimated the average height of women aged 20 years old or older by taking 45 samples. The values are 50 inches and 73.9 inches, respectively. Test IV. Problem Solving (10 points) A. SAMPLING DISTRIBUTION OF THE SAMPLE MEAN Directions: Solve the items completely. For each number, satisfy the following: (a) Construct the sampling distribution of the sample means (2pts); and (b) Compute for the mean and standard deviation of the sampling distribution (3pts) 1. A population consists of the scores of 5 students in a quiz are as follows: 8, 13, 15, 18, and 20. Random samples of size n = 2 are taken. 2. A population N = 5 consists of the following values: 13, 15, 17, and 19, 21. Random samples of size n = 3 are taken. MAT 112 | 69