5. Sampling Distributions Sample Means and Proportions

Topics and Notes
  1. Sampling Distribution
    • a. Central Limit Theorem (CLT): Distribution of sample means and proportions
    • b. Sampling distribution of sample means based on normal populations
  2. Using CLT sampling distribution of sample means: Large sample
    • a. Z-score transformation: $Z = (x -\bar{x})/(s/\sqrt{n})$
    • b. Finding probability
    • c. Finding percentiles
    • d. Tip: draw a density curve of the sampling distribution (x̄) and a density curve of standard normal density curve (Z)
  3. CLT for Population Proportion
    • a. Z-score transformation: $Z = (p - \hat{p})/\sqrt{p(1-p)/n}$
    • b. Finding probabilities
    • c. Finding percentiles
    • d. Tip: draw a density curve of the sampling distribution (p̂) and a density curve of standard normal density curve (Z)
  4. Lecture Note
Practice and Interactive Apps
  1. Practice exercises #05 WEB LINK
  2. [Optional]Read section 7.3 and 7.4 of Navidi's textbook
  3. IntroStatsApps:

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