a teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. he writes…

a teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. he writes the numbers 1 - 10 on equally sized slips of paper and places them in a bag. he shakes the bag and selects 3 slips of paper. is the sample of 3 questions a simple random sample?\nyes, because the paper slips were equally sized.\nyes, because the paper slips were equally sized and the bag was shaken.\nno, because there are only 10 questions.\nno, because the questions were selected using a bag.

a teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. he writes the numbers 1 - 10 on equally sized slips of paper and places them in a bag. he shakes the bag and selects 3 slips of paper. is the sample of 3 questions a simple random sample?\nyes, because the paper slips were equally sized.\nyes, because the paper slips were equally sized and the bag was shaken.\nno, because there are only 10 questions.\nno, because the questions were selected using a bag.

Answer

Brief Explanations:

A simple - random sample is one in which every possible sample of the same size has an equal chance of being selected. Here, each of the 10 questions has an equal chance of being picked when the teacher shakes the bag and selects 3 slips of paper. The fact that the paper slips are equally - sized and the bag is shaken helps ensure randomness. The number of questions or the method of using a bag does not prevent it from being a simple random sample.

Answer:

Yes, because the paper slips were equally sized and the bag was shaken.