Questions: As part of a statistics project, a teacher brings a bag of marbles containing 500 white marbles and 200 red marbles. She tells the students the bag contains 700 total marbles, and asks her students to determine how many red marbles are in the bag without counting them. A student randomly draws 100 marbles from the bag. Of the 100 marbles, 26 are red. The data collection method can best be described as Survey Clinical study Census Controlled study The target population consists of The 700 marbles in the bag The 26 red marbles drawn by the student The 200 red marbles in the bag The 100 marbles drawn by the student None of the above The sample consists of The 700 marbles in the bag The 26 red marbles drawn by the student The 200 red marbles in the bag The 100 marbles drawn by the student None of the above Based on the sample, the student would estimate that marbles in the bag were red.

As part of a statistics project, a teacher brings a bag of marbles containing 500 white marbles and 200 red marbles. She tells the students the bag contains 700 total marbles, and asks her students to determine how many red marbles are in the bag without counting them.

A student randomly draws 100 marbles from the bag. Of the 100 marbles, 26 are red. The data collection method can best be described as Survey Clinical study Census Controlled study

The target population consists of The 700 marbles in the bag The 26 red marbles drawn by the student The 200 red marbles in the bag The 100 marbles drawn by the student None of the above

The sample consists of The 700 marbles in the bag The 26 red marbles drawn by the student The 200 red marbles in the bag The 100 marbles drawn by the student None of the above

Based on the sample, the student would estimate that marbles in the bag were red.

Transcript text: As part of a statistics project, a teacher brings a bag of marbles containing 500 white marbles and 200 red marbles. She tells the students the bag contains 700 total marbles, and asks her students to determine how many red marbles are in the bag without counting them. A student randomly draws 100 marbles from the bag. Of the 100 marbles, 26 are red. The data collection method can best be described as Survey Clinical study Census Controlled study The target population consists of The 700 marbles in the bag The 26 red marbles drawn by the student The 200 red marbles in the bag The 100 marbles drawn by the student None of the above The sample consists of The 700 marbles in the bag The 26 red marbles drawn by the student The 200 red marbles in the bag The 100 marbles drawn by the student None of the above Based on the sample, the student would estimate that $\square$ marbles in the bag were red.

Solution

Solution Steps

Step 1: Data Collection Method

The data collection method used in this scenario can be classified as a controlled study. This is because the teacher has set up a specific experiment where students draw marbles from a known population (the bag of marbles) to estimate the number of red marbles without directly counting them.

Step 2: Target Population

The target population consists of all the marbles in the bag. Since the teacher has informed the students that there are 700 total marbles, the target population can be expressed as: \[ \text{Target Population} = 700 \text{ marbles} \]

Step 3: Sample

The sample consists of the marbles that were actually drawn by the student. In this case, the student drew 100 marbles from the bag. Therefore, the sample can be expressed as: \[ \text{Sample} = 100 \text{ marbles} \]