AnswersNC-Math 4 CRObservational Studies and Experiments

Observational Studies and Experiments Answers

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1
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Is this a completely randomized design? Explain.

A
Yes, she assigned the samples of water to the treatments completely at random.
B
Yes, the groups are equal in size.
C
No, she did not treat the samples equally. Half of the water samples were run through the filtration system.
D
No, she performed an observational study.
2
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Which statements are true? Check all that apply.

A
The teacher should block by student ability level—advanced or on-level.
B
The teacher should block by month born.
C
The students should be given homework, or not be given homework, separately within each block.
D
The size of each block depends on the number of advanced and on-level students.
E
The blocks should consist of 30 advanced students and 30 on-level students.
3

In order to isolate the effect of fuel type on fuel economy, what should the researcher use as pairs?

A
vehicles of similar sizes
B
vehicles that are the same color
C
vehicles that are assigned to receive the same type of fuel
D
vehicles that are driven more often versus less often
4

Which of the following statements are always true about matched pairs experimental designs? Check all three that apply.The randomization is carried out separately within each pair.The experimental units should be assigned to the treatments completely at random.Matched pairs design is a form of blocking, with each block containing two experimental units.Half of the experimental units should receive one treatment, and the other half should receive the other treatment.The units must have a physical pair.The randomization within a matched pairs design can be accomplished with a coin toss.

A
The randomization is carried out separately within each pair.
B
The experimental units should be assigned to the treatments completely at random.
C
Matched pairs design is a form of blocking, with each block containing two experimental units.
D
Half of the experimental units should receive one treatment, and the other half should receive the other treatment.
E
The units must have a physical pair.
F
The randomization within a matched pairs design can be accomplished with a coin toss.
5

Which matched pairs design is appropriate, if any? Why?

A
Both designs are equally appropriate in this situation because randomization is used.
B
Design I is appropriate because the second design would confound fatigue with the effect of music.
C
Design II is appropriate because it allows us to compare each runner to themselves. This reduces a source of variability.
D
Neither design is appropriate. The best choice is a completely randomized design.

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