Question

as part of a statistics project, a teacher brings a bag of marbles containing 500 white marbles and 400 red marbles. she tells the students the bag contains 900 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, 39 are red.
the data collection method can best be described as
○ designed experiment
○ observational study
expain your answer:
the target population consists of
○ the 100 marbles drawn by the student
○ the 39 red marbles drawn by the student
○ the 900 marbles in the bag
○ the 400 red marbles in the bag
○ none of the above
the sample consists of
○ the 39 red marbles drawn by the student
○ the 400 red marbles in the bag
○ the 900 marbles in the bag
○ the 100 marbles drawn by the student
○ none of the above

Explanation:

1. For the data collection method: An observational study involves collecting data without manipulating variables. Here, the student only observes and records the color of drawn marbles, no variables are altered. A designed experiment requires manipulating conditions, which does not happen here.
2. For the target population: The target population is the entire group we want to draw conclusions about. The goal is to learn about all marbles in the bag, so this is the population.
3. For the sample: The sample is the subset of the population that is actually observed or measured. The student draws 100 marbles to gather data, so this is the sample.

Answer:

1. The data collection method: Observational Study
2. The target population consists of: The 900 marbles in the bag
3. The sample consists of: The 100 marbles drawn by the student