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 (C)</p> Signup and view all the answers

What does a hypothesis represent in scientific research?

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

Flashcards

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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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