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As part of a statistics project, a teacher brings a bag of marbles containing 80

ID: 2924947 • Letter: A

Question

As part of a statistics project, a teacher brings a bag of marbles containing 800 white marbles and 300 red marbles. She tells the students the bag contains 1100 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, 56 are red. i) The data collection method can best be described as Blank 1 A) Survey B) Clinical study C) Census D) Controlled study ii) The target population consists of Blank 2. A) The 56 red marbles drawn by the student. B) The 200 marbles drawn by the student. C) The 1100 marbles in the bag. D) The 300 red marbles in the bag. E) None of the above iii) The sample consists of Blank 3. A) The 200 marbles drawn by the student. B) The 300 red marbles in the bag. C) The 1100 marbles in the bag. D) The 56 red marbles drawn by the student. E) None of the above. iv) Based on the sample, the student would estimate that Blank 4 marbles in the bag were red.

Explanation / Answer

1. B) Clinical study
2. Target population refers to the ENTIRE group of individuals or objects to which researchers are interested in generalizing the conclusions. The target population usually has varying characteristics and it is also known as the theoretical population.

1100 marbles is therefore the target population

The target population consists of

C) The 1100 marbles in the bag is correct

iii) The sample consists of

A) The 200 marbles drawn by the student.

iv) p^ = X /n = 56/ 200 = 0.28