AP Statistics - 3.4 Experiments - Scenario 1 - 10

Read scenario 1.

Can we conclude that the fast-paced music caused her classmates to finish the maze faster? Why?

• Yes, because the study included each student in her class.

• Yes, because the students were randomly selected.

• Yes, because the students were randomly assigned to treatment and control.

• Not necessarily, because the sample size is too small.

• Not necessarily, because this wasn't an experiment.

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Read scenario 2.

What conclusion can they draw from this study?

• Having sleep problems caused the women to have higher blood pressure.

• Higher blood pressure caused the women to have sleep problems.

• Any women in this study with sleep problems also has high blood pressure.

• For any two women in this study, the one who has more sleep problems has higher blood pressure.

• There was an association between sleep problems and high blood pressure, but it's not necessarily a causal relationship.

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Read scenario 3.

What type of experiment design is this?

• A matched pairs design with rock and country music as the pairs.

• A randomized block design where the 3 ecosystems are the blocks.

• A stratified random design.

• A random block design where the 3 sound types are the blocks.

• A completely randomized experiment design.

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Read scenario 4.

Which of these concerns makes their conclusion inappropriate?

• The students weren't blocked based on previous test scores.

• No blinding was used on the students or the researchers.

• This wasn't a random sample of students.

• Some of the 50 students should have been assigned to a control group that used in the in-person course.

• Some of the 50 students should have been assigned to a control group that received no tutoring.

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Read scenario 5.

Which of the following strategies is most appropriate for accomplishing this?

• Block on dog breed and randomly assign puppies to existing and new formula groups within each breed.

• Block on geographic location and randomly assign puppies within each breed. Then assign puppies by breed to either the existing or the new formula.

• Stratify on dog breed and randomly sample puppies within each breed. Then assign puppies by breed to either the existing or the new formula.

• Stratify on geographic location of the puppies and randomly sample puppies within each geographical region. Then assign puppies by geographic area to either the existing or new formula.

• Stratify on gender and randomly sample puppies within gender groups. Then assign puppies by gender to either the existing or the new formula.

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Read scenario 6.

Which of the following best describes why a completely randomized design is an appropriate design to use in this situation?

• 1. There is no blocking variable, and incentive plans will be randomly assigned to the workers.

• 1. There is no blocking variable, and the workers were selected at random.

• 1. Each incentive plan is a block, and a completely randomized design is not blocked.

• 1. Each plan will be randomly assigned to 10 pairs of workers who share a similar characteristic.

• 1. The number of workers participating in the study was greater than or equal to 30.

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Read scenario 7.

Which of the following is potentially a confounding variable in this study?

• 1. Chemical used

• 1. Lab technician

• Dose

• 1. Cell type

• 1. Cell growth

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Read scenario 8.

What can be concluded from the experiment?

• 1. There is not enough evidence to attribute the higher ratings to the new paint.

• 1. The new paint will last longer than the old paint if used on wooden surfaces.

• 1. The experiment is inconclusive because blocks from only one type of wood were used.

• 1. The experiment is inconclusive because one month is not enough time for paint to weather.

• 1. Because the blocks were randomly assigned to the type of paint, there is evidence that the new paint

  causes better ratings than the old paint.

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Read scenario 9.

Which of the following describes the best design to use for the study?

• A completely randomized design. Randomly assign the nine combinations of price level and packaging type so that three stores use each combination.

• A completely randomized design. Randomly assign the three price levels so that nine stores use each

  price level.

• A completely randomized design. Randomly assign the three packaging types so that nine stores use

  each type of packaging.

• A randomized block design. Use packaging as a block. Randomly assign the nine combinations of three

  price levels and three packaging types so that three stores use each combination.

• A randomized block design. Use packaging as a block. Randomly assign nine stores to each packaging type, then randomly assign price level to three stores within each

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Read scenario 10.

Which of the following designs would be best to use in the study?

• A completely randomized design. Randomly assign ten lambs to the GM diet and ten lambs to the nGM diet.

• A stratified randomized design. Divide the lambs into males and females. Within each group, randomly

  assign the GM diet to one half and the nGM diet to the other half.

• 1. A randomized block design. Randomly assign ten lambs to the GM diet and ten lambs to the nGM
     diet.

• 1. A randomized block design. Randomly assign the GM diet to the male lambs and the nGM diet to the female lambs.

• A matched pairs design. For each set of twins, randomly assign one twin to the GM diet and the other twin to the nGM diet.

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