Answers NC-Math 4 CRExperimental Designs

Experimental Designs Answers

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Is this a completely randomized design? Explain.

Yes, she assigned the samples of water to the treatments completely at random.

Yes, the groups are equal in size.

No, she did not treat the samples equally. Half of the water samples were run through the filtration system.

No, she performed an observational study.

Which statements are true? Check all that apply.

The teacher should block by student ability level—advanced or on-level.

The teacher should block by month born.

The students should be given homework, or not be given homework, separately within each block.

The size of each block depends on the number of advanced and on-level students.

The blocks should consist of 30 advanced students and 30 on-level students.

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

Both designs are equally appropriate in this situation because randomization is used.

Design I is appropriate because the second design would confound fatigue with the effect of music.

Design II is appropriate because it allows us to compare each runner to themselves. This reduces a source of variability.

Neither design is appropriate. The best choice is a completely randomized design.

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