Which kind of sampling plan was used in each of the following situations? Would
ID: 3312198 • Letter: W
Question
Which kind of sampling plan was used in each of the following situations? Would the plan result in an unbiased sample? a. Complaints have been made about students not showering after physical education class at a high school. The administration is trying to decide whether to begin requiring showering. They divide the set of interested people into three groups: teachers, students, and parents. A random sample is selected from each group and asked to fill out a brief questionnaire about the need to shower after P.E. class. b. The managers of a large shopping mall are trying to decide whether to add another information booth to the concourse. They hire a student to stand by one door and ask the next 100 people who enter the mall whether they would like to see another information booth added to the mall and, if so, where. c. The managers of the new cafeteria on campus want to measure student satisfaction with the new facilities and food offerings. They decide to pass out questionnaires to students who go through the line between the times 8:15 and 8:30, 11:15 and 11:30, 2:15 and 2:30, and 5:15 and 5:30, and ask them to complete the questionnaires. They leave a box at the exit door for completed questionnaires. d. Three users of the Panther, a new car, reported problems with the trunk lid popping up while driving. So the car manufacturer test-auto drove the next 30 cars leaving the factory and found that the trunk lild did not pop open. It decided that the problem did not need to beExplanation / Answer
a. Cluster Sampling is used here. As the population is divided into the possible clusters and then a random sample is selected in each sample. The sample ought be biased as the number of students and teachers are different and if same number of identities are being selected from each group, the sampling bias would be there. To remove bias, they should use sampling on basis of probability proportional to size.
b. Simple random sampling is used here. The people visiting mall at a particular time is a random process. The sample will be unbiased here as there is no source of possible bias.
c. Simple random sampling is used here. The people visiting cafe at a particular time is a random process. The sample will be unbiased here as there is no source of possible bias.
d. Non-probability Sampling is used here as sample does not have known probability of being selected as in convenience or voluntary response surveys. The sample will be biased.
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