Scientific Research Fundamentals
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Questions and Answers

Which of the following is the primary purpose of a scientific experiment?

  • To collect data without analysis
  • To prove a hypothesis is correct
  • To create a theory from unrelated observations
  • To test predictions derived from a hypothesis (correct)
  • What is a characteristic feature of qualitative research?

  • It relies heavily on statistical techniques
  • It validates existing theories quantitatively
  • It focuses on understanding experiences and concepts (correct)
  • It uses numerical data for analysis
  • Which of the following best describes a control group in experiments?

  • Group that receives the treatment being tested
  • Group that is not exposed to the treatment (correct)
  • Group that has random variables applied
  • Group that ensures results are invalid
  • Why is it important to conduct multiple trials in an experiment?

    <p>To identify patterns and reduce error</p> Signup and view all the answers

    What does a hypothesis represent in scientific research?

    <p>A proposed explanation that can be tested</p> Signup and view all the answers

    Study Notes

    Probability and Statistical Concepts

    • Probability is a measure of the likelihood of an event occurring. It is calculated as the number of favorable outcomes divided by the total number of possible outcomes. Probabilities range from 0 (impossible) to 1 (certain), inclusive.

    Conditional Probability

    • Conditional probability is the probability of an event occurring, given that another event has already occurred. It is calculated as P(A|B) = P(A and B) / P(B). Where P(A|B) represents the probability of event A occurring given that event B has occurred.

    Independence

    • Two events are independent if the outcome of one event does not affect the probability of the other event occurring. If events A and B are independent, P(A and B) = P(A) * P(B).

    Mutually Exclusive Events

    • Two events are mutually exclusive if they cannot both occur at the same time. If events A and B are mutually exclusive, P(A or B) = P(A) + P(B).

    Combinations

    • A combination is a selection of items from a group where the order of selection does not matter. The number of combinations of n items taken k at a time is denoted as nCk or (n k) and calculated as n! / (k! * (n-k)!). Where n is the total number of items, and k is the number of items to be selected.

    Permutations

    • A permutation is an arrangement of items in a specific order. The number of permutations of n items taken k at a time, where order matters, is denoted by nPk and calculated as n! / (n-k)!

    Tree Diagrams

    • A tree diagram is a visual representation of a multi-stage chance process, showing possible outcomes and their associated probabilities. Used to illustrate conditional and joint probabilities.

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    Description

    Test your knowledge on the foundational concepts of scientific research and experimentation. This quiz covers topics such as the purpose of experiments, qualitative research features, control groups, multiple trials, and the nature of hypotheses. Perfect for students studying basic scientific principles.

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