Quiz Me: 1.3-1 Define and identify a dom sample. This quiz: 1 point(s) possible This question: 1 point(s) possible Resume later Submit quiz Refer to the definition of simple random sample available below and its accompanying definition of random sample enclosed within parentheses. Determines 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 shuffled and six names are drawn from the top. c. For the same class described in part (a), the six youngest students are selected. (1) Click the icon to view the definitions of simple random sample and random sample. a. This sample is a simple random sample. It a random sample. b. This sample is a simple random sample. It c. This sample is not a simple random sample. It is not sample. sample. Submit quiz
Solution
Step 1 ：The question is asking to identify whether the given scenarios are examples of a simple random sample and a random sample. A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. A random sample is a subset of a population in which each member of the population has an equal chance of being selected.
Step 2 ：In scenario a, each row (and therefore each student) has an equal chance of being selected, so it is both a simple random sample and a random sample.
Step 3 ：In scenario b, each student has an equal chance of being selected, so it is both a simple random sample and a random sample.
Step 4 ：In scenario c, the selection is based on age, not randomness, so it is neither a simple random sample nor a random sample.
Step 5 ：Final Answer: \(\boxed{\text{a. This sample is a simple random sample. It is a random sample.}}\)
Step 6 ：\(\boxed{\text{b. This sample is a simple random sample. It is a random sample.}}\)
Step 7 ：\(\boxed{\text{c. This sample is not a simple random sample. It is not a random sample.}}\)
