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Sampling and Experimentation — Test Answers

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21
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The characteristics of the treatment and control groups

A
might not be roughly equivalent because the students were not labeled and randomly chosen for each group.
B
might not be roughly equivalent because the students could have vastly different views about graphic novels.
C
should be roughly equivalent because both groups have a mixture of students with different current grades.
D
should be roughly equivalent because the students are from a randomly chosen class.
23

Which of the following describes a random block design for this experiment?

A
The plants are grouped based on size. The 30 biggest plants are placed in one group and the 30 smallest plants in another other group. The remaining 30 plants are placed in a third group. For each group, a coin is flipped. If the coin lands on heads then the group will receive the fertilizer. If it lands on tails, then the group will not receive fertilizer. Repeat this procedure for the other two groups.
B
The plants are paired together based on similar size and numbered 1 and 2. Within each pair, a 6-sided number cube is rolled. If it lands on 1, 2, or 3, plant 1 receives the fertilizer and plant 2 does not receive fertilizer. If the cube lands on 4, 5, or 6, plant 1 does not receive fertilizer and plant 2 receives fertilizer. This is done for each of the 45 pairs of plants.
C
The plants are numbered 01–90. Using a line from a random number table, the first 45 two-digit numbers, ignoring repeats and the numbers 91–99 and 00, represent the plants that will receive fertilizer. The remaining 45 plants will not receive fertilizer.
D
The plants are grouped based on variety. There are 30 plants of each variety. The plants within each variety are numbered 1–30, and the numbers are put in a random number generator. The first 15 unique numbers represent the plants in each variety that will receive fertilizer and the remaining 15 numbers will represent the plants in each variety that will not receive fertilizer.
24

Which statement is a reasonable explanation for this relationship?

A
People who commit crimes cannot afford to buy more expensive homes.
B
People are less likely to commit crimes if home prices are higher.
C
People are more likely to spend more money on a home if there is a lower crime rate.
D
People who can afford higher home prices are more likely to commit crimes.
25

Which of the following accurately describes the benefit of comparison in the experiment shown in the design web?

A
The level of allergic symptoms in the group who received the medication can be used to determine if the medication had a significant effect.
B
The level of allergic symptoms in both groups can be compared to see if the new medication had a significant effect.
C
The level of allergic symptoms in both groups cannot be compared to determine if the medication had a significant effect because one group only received a placebo.
D
The overall level of allergic symptoms can be used to determine if the new allergy medication had a significant effect.

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