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Probability - Coggle Diagram

- - - - Random sampling with replacement: equal chance of selection and constant probabilities.
    - - **Sampling with replacement is a method in statistics where each item is returned to the population after being selected, so it can be chosen again.
    - - Independent random sampling requires that each individual has an equal chance of being selected and that the probability of being selected stays constant from one selection to the next if more than one individual is selected
  - - - The normal distribution is used to show z-scores, the proportions of specific proportions.
        
        The Unit Normal Table: lists proportions of the normal distribution for a full range of possible z-score values.
        
        Proportions of a normal distribution: The body always corresponds to the larger part of the distribution whether it is on the right-hand or left-hand side
        
        Finding Proportions/Probabilities for Specific z-Score Values
        
        To find the probability for a specific z-score, you calculate the area under the standard normal curve either to the left, right, or between values of that z-score using a z-table or calculator.
        
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      - Using probability to evaluate a treatment effect. Values that are extremely unlikely to be obtained from the original population are viewed as evidence of a treatment effect.
    - - **Random sample: Every individual in the population has an equal chance of being selected.
        When more than one individual is being selected, the probabilities must stay constant. This means there must be sampling with replacement