Questions: Select any of the following scenarios where data should be collected through an experiment and not an observational study. A local shelter wishes to determine the percentage of animals that are adopted within two weeks of arriving at the shelter. An artist wishes to determine which detergent will best remove paint stains from their aprons. Destiny wishes to determine which type of pillow will reduce her partner's snoring. Your school's tutoring center wishes to determine the percentage of students that are not enrolled in a math course.

Select any of the following scenarios where data should be collected through an experiment and not an observational study.
A local shelter wishes to determine the percentage of animals that are adopted within two weeks of arriving at the shelter.
An artist wishes to determine which detergent will best remove paint stains from their aprons.
Destiny wishes to determine which type of pillow will reduce her partner's snoring.
Your school's tutoring center wishes to determine the percentage of students that are not enrolled in a math course.
Transcript text: Select any of the following scenarios where data should be collected through an experiment and not an observational study. A local shelter wishes to determine the percentage of animals that are adopted within two weeks of arriving at the shelter. An artist wishes to determine which detergent will best remove paint stains from their aprons. Destiny wishes to determine which type of pillow will reduce her partner's snoring. Your school's tutoring center wishes to determine the percentage of students that are not enrolled in a math course.
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Solution

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Solution Steps

To determine whether data should be collected through an experiment or an observational study, consider whether the scenario involves manipulating variables to observe effects. Experiments involve active intervention, while observational studies involve passive data collection without interference.

  1. An artist wishes to determine which detergent will best remove paint stains from their aprons.

    • This scenario involves testing different detergents to see their effects on paint stains, which requires an experiment.
  2. Destiny wishes to determine which type of pillow will reduce her partner's snoring.

    • This scenario involves testing different types of pillows to observe their effects on snoring, which requires an experiment.
  3. A local shelter wishes to determine the percentage of animals that are adopted within two weeks of arriving at the shelter.

    • This scenario involves collecting data on adoption rates without manipulating any variables, which is suitable for an observational study.
Step 1: Identify Scenarios

We have four scenarios to evaluate whether they require an experiment or can be classified as observational studies. The scenarios are:

  1. A local shelter wishes to determine the percentage of animals that are adopted within two weeks of arriving at the shelter.
  2. An artist wishes to determine which detergent will best remove paint stains from their aprons.
  3. Destiny wishes to determine which type of pillow will reduce her partner's snoring.
  4. Your school's tutoring center wishes to determine the percentage of students that are not enrolled in a math course.
Step 2: Classify Each Scenario

Next, we classify each scenario based on whether it requires an experiment or can be an observational study:

  1. Local Shelter: This scenario is observational as it involves collecting data on adoption rates without manipulating any variables. Thus, it does not require an experiment. \( \text{Requires Experiment: False} \)

  2. Artist and Detergent: This scenario involves testing different detergents to observe their effects on paint stains, which requires an experiment. \( \text{Requires Experiment: True} \)

  3. Destiny and Pillow: This scenario involves testing different types of pillows to observe their effects on snoring, which also requires an experiment. \( \text{Requires Experiment: True} \)

  4. Tutoring Center: This scenario is observational as it involves collecting data on student enrollment without any intervention. Thus, it does not require an experiment. \( \text{Requires Experiment: False} \)

Final Answer

Based on the classifications, the answers are as follows:

  1. Local Shelter: No experiment required.
  2. Artist: Experiment required.
  3. Destiny: Experiment required.
  4. Tutoring Center: No experiment required.

Thus, the final answers are:

  • For the local shelter: \( \text{False} \)
  • For the artist: \( \text{True} \)
  • For Destiny: \( \text{True} \)

The final boxed answers are: \[ \boxed{\text{Local Shelter: False, Artist: True, Destiny: True}} \]

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