Population Distribution in Pharmacology
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Questions and Answers

What is the value of X in the given equation, where V.Z = X - µ/σ?

  • 78.18
  • 80.58
  • 77.58
  • 78.58 (correct)
  • What is the primary purpose of calculating the Z-value?

  • To determine the mode of a dataset
  • To determine the standard deviation of a dataset
  • To determine the mean of a dataset
  • To determine the probability of occurrence of an event (correct)
  • What is the shape of the distribution curve when the data is skewed to the left?

  • Asymmetrical with a longer left tail (correct)
  • Asymmetrical with a longer right tail
  • Symmetrical
  • Bimodal
  • What is the difference between the normal distribution curve and the t-distribution curve?

    <p>The normal distribution curve doesn't represent the sample number</p> Signup and view all the answers

    What is the formula to calculate the t-value?

    <p>[X - µ] / SE</p> Signup and view all the answers

    What is the area of the curve that is above 130 mmHg in a normal distribution curve with µ = 120 and σ = 10?

    <p>P = 0.0228</p> Signup and view all the answers

    What is the importance of the Z-value in a normal distribution curve?

    <p>To determine the probability of occurrence of an event</p> Signup and view all the answers

    What is the shape of the distribution curve when the data is skewed to the right?

    <p>Asymmetrical with a longer right tail</p> Signup and view all the answers

    What is the value of the systolic blood pressure that divides the area under the curve into lower 97.5% and upper 2.5%?

    <p>138.58 mmHg</p> Signup and view all the answers

    What is the primary difference between the normal distribution curve and the t-distribution curve?

    <p>The sample size used to estimate the population mean</p> Signup and view all the answers

    Study Notes

    Population Distribution

    • Population distribution can be discrete, skewed, or normal (also known as continuous or Gaussian).
    • Normal frequency distribution (NFD) is a continuous probability distribution with values ranging from -∞ to +∞.
    • Each NFD is defined by its mean (µ) and standard deviation (σ).

    Characteristics of Normal Frequency Distribution (NFD)

    • Bell-shaped curve
    • Symmetric
    • Mean = mode = median
    • The area under the curve represents all probabilities
    • Data are clustered around the mean
    • The distribution of data around the mean µ is described by units of standard deviation σ

    Standard Normal Frequency Distribution (Z Distribution)

    • Hypothetical curve where µ = 0 and σ = 1
    • Z value is the fraction of standard deviation on the scale
    • Z values range from -3 to +3
    • The area represents the probability of occurrence of an event, and total area = 1 (represents 100%)

    Importance of Z Value

    • Decides whether an observation is normal or not
    • Determines the probability of occurrence of an event in NFD curve
    • Examples of determining probabilities using Z values are provided

    Skewed Distribution

    • Not symmetrical
    • Can be negatively skewed (pulled to the left) or positively skewed (pulled to the right)

    The t-Distribution

    • Used to describe the distribution of means around the universal mean when the SD is unknown, but an estimate is available from a relatively small sample number
    • For each sample size, there will be a special t-distribution curve
    • t value = [𝑋 - µ] / SE
    • Differences between NFD curve and t-distribution are:
      • NFD doesn’t represent the sample number
      • NFD is steep, while t-distribution is less steep and becomes less steep as n decreases

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    Description

    Learn about population distribution types, including discrete and continuous distributions, and their characteristics. Understand the normal or Gaussian distribution, its symmetry, and bell-shaped curve.

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