1. A statistics teacher wants to know how his students feel about an introductor
ID: 3046722 • Letter: 1
Question
1. A statistics teacher wants to know how his students feel about an introductory statistics course. He decides to administer a survey to a random sample of students taking the course. He has several sampling designs to choose from. Name the sampling design in each case. a. There are four ranks of students taking the class: freshman, sophomore, junior and senior. Randomly select 15 students from each class rank. b. Randomly select a class rank (freshman, sophomore, junior, or senior) and every student in that class rank. c. Each student has a nine-digit student number. Randomly choose 60 numbers. d. Using the class roster, select every second student from the list, using a random start. 2. Explain why the second plan suggested above, sampling all students from one class rank,_might not be best sampling plan. 3. Name and describe the kind of selection bias that might be present if instead of randomly selecting students, the teacher simply: a. asks students to volunteer for the survey. b. gives the survey during class one day.Explanation / Answer
1.
2. If we will sample all students from one class rank, The second plan would leave out a large portion of the sample student population.This would create undercoverage bias, which is why this might not be the best plan.
3.
(a) Here the selection bias is Voluntary response bias.
Explanation : Probably only those students will answer which are interested in the course, making the result more positive.(What about those students who did not volunteer?)
(b) In this case, bias is Convenience bias.
Explanation : Only students who are present there on certain day are given a chance to answer the survey.(What about the students who are absent on the day of survey?)
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