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5. Sampling Distributions Sample Means and Proportions
Topics and Notes
- Sampling Distribution
- a. Central Limit Theorem (CLT): Distribution of sample means and proportions
- b. Sampling distribution of sample means based on normal populations
- 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)
- 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)
- Lecture Note
Practice and Interactive Apps
- Practice exercises #05
WEB LINK
- [Optional]Read section 7.3 and 7.4 of Navidi's textbook
- IntroStatsApps:
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