Question

Simple Random Sample vs. Random Sample Refer to the definition of simple random sample on page 27 and its accompanying definition of random sample enclosed within parentheses. Determine whether each of the following is a simple random sample and a random sample.a. A statistics class with 36 students is arranged so that there are 6 rows with 6 students in each row, and the rows are numbered from 1 through 6. A die is rolled and a sample consists of all students in the row corresponding to the outcome of the die.b. For the same class described in part (a), the 36 student names are written on 36 individual index cards. The cards are shuµed and six names are drawn from the top.C. For the same class described in part (a), the six youngest students are selected.Can someone explain does die play a part in part a if it is Random sample or A simple random sample or not?

Answer 1

Answer:

A statistics class with 36 students is arranged so that there are 6 rows with 6 students in each row, and the rows are numbered from 1 through 6. A die is rolled and a sample consists of all students in the row corresponding to the outcome of the die. This is not a simple random sample. It is a random sample only.

For the same class described in part (a), the 36 student names are written on 36 individual index cards. The cards are shuffled and six names are drawn from the top. This is a simple random sample. It is also a random sample.

For the same class described in part (a), the six youngest students are selected. This is not a simple random sample. It is also not a random sample.