Statway Pathway 1.4: Random Sampling & Experiments Exercise 1.4 Collaboration 1.4 examined important characteristics of observational studies and experiments. The questions in Exercise 1.4 will assess your understanding of these concepts. 1 Imagine that you want to learn about the average number of hours, per day, that students at your college spend online. You want to select a simple random sample of 75 students from the full-time students at your college. You have a list of all full-time students, whose names are arranged in alphabetical order. Suppose that there are 5000 students at your college, of which 3500 are full-time. Which method below obtains a simple random sample of 75 students from this population? (i) Select the first 75 students who you meet on campus for the sample. (ii) Number all the students from 1 to 5000, use a random number table or calculator to randomly select 75 numbers between 1 and 5000, determine which students correspond to those numbers on the list, and select them for the sample. (iii) Number all the full-time students from 1 to 3500, use a random number table or calculator to randomly select 75 numbers from1 to 3500, determine which students correspond to those numbers on the list, and select them for the sample. (iv) Send an email to all 3500 full-time students. Use the first 75 students who respond to your email as the sample. 2 Imagine you want to estimate the average amount of time per week that students at a particular college spend studying. Which method below is an example of a convenience sample? (i) Select 50 students who are enrolled in English literature at the college this semester. (ii) Select 40 students as they enter the library. (iii) Select 50 students who participate in student clubs and student activities. (iv) Select 40 students at random from all students at the college by randomly choosing 40 student identification numbers. Statway Pathway Module 1 by Carnegie Math Pathways is licensed under CC BY NC 4.0 1.4 | 10