Question

A statistics instructor wants to obtain a Simple random sample (SRS) of five students from her class of 35 students. She assigns each student a number from 1 to 35 based on a sheet which lists the students alphabetically, by last name. For each scenario, say if it's really an SRS and how you can tell that it is or is not: a. The instructor puts pieces of paper numbered 1-35 in a bowl and closes her eyes and selects 6,10, 25, 26, and 33. b. The instructor asks a student in the class to call out five numbers from 1 - 35. The student chooses 3, 9, 15, 22 and 29. c. The instructor uses a random number generator from statistical soft-ware, which reports 7, 11, 15, 18, 29.

Answer 1

All the three cases a,b,c are simple random samples

in the first case all the picks have independent probabilities and the probability of one pick is not dependent on another pick

in the second and third case also the probabilities are independent hece its a simple random sample