Statistics and probability reviewer 2021
TOPIC 1: Identifying the Different Random Sampling Techniques Identify the random sampling technique used in each item. _1. You are given a list of all graduating students in your school. You decide to survey every 10th student on the list and ask them the organization that they belong. 2. You wish to make a comparison of the gender differences in Mathematics performance. You divide the population into two groups, male and female, and randomly pick respondents from each of the group. _3. You assign numbers to the members of the population and then use draw lots to obtain your samples to answer your survey on the most popular festivals in the country. 4. You randomly pick five out of fifteen barangays to conduct your survey in your municipality or city about their best environment-friendly practices. 5. You write the names of each student in pieces of paper, shuffles, and then draw eight names to answer a survey on their ethical media practices. Analyze the given situation below and then identify the type of random sampling methods being illustrated in each item. Each of the 30 basketball high school teams has 12 players. The organizer wants to have a quick survey to know the average height of the players. 1. Each team will be asked to place papers with its players' names into a separate fishbowl and randomly drew out five names. The five names from each team will be combined to make up the sample. Which of the following sampling techniques is being used in this situation? A. cluster B. simple C. stratified D. systematic 2. The organizer lists all the players in a sheet of paper and then assigns a unique number for each. Sixty numbers will be picked to get the samples. Which random sampling technique did the organizer apply? A. cluster B. simple C. stratified D. systematic 3. All players will be grouped according to their age and will randomly choose players from each group to measure their height. Which random sampling technique did he apply? A. cluster B. simple C. stratified D. systematic 4. The organizer created a list of all players, decided to survey every sixth name on the list, and later asked those players that were selected. Which random sampling technique did he apply? A. cluster B. simple C. stratified D. systematic 5. A team is randomly selected to answer the question prior to the study. Which random sampling technique did he apply? A. cluster B. simple C. stratified D. systematicTOPIC 2: Computing for the Parameter and Statistic. Complete the table below by computing for the different parameters and statistics. Population: 1, 2, 3, 4 and 5 Sample: 2, 4 and 5 Measures Parameter Statistics Mean Variance Standard deviation TOPIC 3: Identifying Sampling Distribution of Statistics (sample mean). A population consists of the values (1, 4, 3, 2). Consider samples of size 2 that can be drawn from this population. Complete the following table. Sample Sample Mean Frequency Probability P(x) Draw a histogram of the sampling distribution of the sample mean.TOPIC 4: Finding the Mean and Variance of the Sampling Distribution of the Sample Mean Use the data for sample mean and probability in TOPIC 3. Complete the table and compute the mean and variance of the sampling distribution of the sample mean. Sample Mean Probability X- H (X - 1)2 P(X) . (X - H)2 X P(X) Sample Mean Sample VarianceTOPIC 5: Defining Sampling Distribution of the Sample Mean for Normal Population Instruction: Read and analyze the following situations and supply the values of the following variable in the second column. Determine whether the following statements have a known or unknown population variance and provide a brief explanation to support your answer. Also, identify the formula to be used for the standard error of the mean by writing of , when the population variance is known and s, when the population variance is unknown. Situation Given Answer Standard Error Formula 1. Consider a population consisting of 15, IN = 2, 12, 4, 5, 8,6, 9 and 17. Samples of In = size 5 are drawn from this population. 2. Given the population mean of 98, and a n = sample standard deviation 2 in a sample U = size of 45. S = 3. A population composed of 10 items N = whose measurements are 12,11, 15, 8, n = 20, 23, 18, 13, 22, and 10. Samples of 6 items are drawn at random without replacement.4. An SHS teacher claims that the average n = time it takes a group of students to complete the Mathematics examination 02 : is 50.5 minutes with a variance of 17.64 X = minutes. She randomly selected 45 S = students and found to have a mean of 52 minutes and a standard deviation of 3.5 minutes. She then used the z- distribution to find out if the group can complete the exam faster than the population. 5. A manufacturer of lightbulbs produces n = bulbs that last a mean of 800 hours with H = a standard deviation of 100 hours. To 0' = assess the claim of the manufacturer, a 0 = random sample of 12 of these bulbs was X = tested and found to have a mean of 790 S : hours. He then used the test variate t = : RUBRIC CRITERIA 5 4 3 2 COMPLETENESS The entire 75% of written 50% of written Less than 50% How much of the written work work was work was of written assignment was was completed completed completed work was completed? completed CORRECTNESS The entire 75% of written 50% of written Less than 50% How much of the written work work was work was of written assignment was was done done correctly done correctly work was done right? correctly done correctly EFFORT Outstanding Good effort Some effort Minimal effort The student work, the was made, was made, the was given. The worked at what student and the student just student level of their should be student met did enough should try ability? proud of their my work. harder. effort! expectations. PUNCTUALITY The written The written The written The written Was the work was work was work was work was assignment turned turned turned turned turned in on in/ passed on in / passed one in/passed two in/passed time? time day late days late more than two days late
