Question

as part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and 300 red marbles. she tells the students the bag contains 1000 total marbles, and asks her students to determine how many red marbles are in the bag without counting them. a student randomly draws 200 marbles from the bag. of the 200 marbles, 57 are red. the data collection method can best be described as survey experiment observational study census the target population consists of the 57 red marbles drawn by the student the 300 red marbles in the bag the 200 marbles drawn by the student the 1000 marbles in the bag none of the above the sample consists of the 200 marbles drawn by the student the 300 red marbles in the bag the 1000 marbles in the bag the 57 red marbles drawn by the student none of the above

Explanation:

1. For the data - collection method: In an experiment, the researcher manipulates one or more variables. Here, the student is randomly drawing marbles, which is an action that can be considered as a form of manipulation to gather data. A survey involves asking questions, an observational study just observes without intervention, and a census is a complete count of the population.
2. For the target population: The target population is the entire group of interest. Here, the teacher wants to know about the red marbles in the bag of 1000 marbles, so the 1000 marbles in the bag is the target population.
3. For the sample: A sample is a subset of the population. The 200 marbles drawn by the student is a subset of the 1000 - marble population.

Answer:

1. Experiment
2. The 1000 marbles in the bag
3. The 200 marbles drawn by the student