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Library AP Statistics Unit 5: Sampling Distributions
⁂   AP Statistics · Unit 5

5. Sampling Distributions

7–12% of the AP exam. Key topics: Concept of a sampling distribution of a sample statistic, Sampling distribution of the sample mean x̄: mean = μ, SD = σ/√n, Sampling distribution of the sample proportion p̂: mean = p, SD = √(p(1−p)/n), Central Limit Theorem (CLT): shape of sampling distributions for large n, Conditions for approximately normal sampling distribution of x̄ (n ≥ 30 or population normal), Conditions for approximately normal sampling distribution of p̂ (Large Counts: np ≥ 10 and n(1−p) ≥ 10), 10% condition: sample size ≤ 10% of population (for independence), Standard error vs. standard deviation distinction, Simulation as a method for building empirical sampling distributions.

7–12% exam weight standard track

Unit 5: Sampling Distributions

Study guide content for this unit is being prepared. Check back soon for complete lesson notes, formula sheets, and worked examples.

Topics in this unit

  • Concept of a sampling distribution of a sample statistic
  • Sampling distribution of the sample mean x̄: mean = μ, SD = σ/√n
  • Sampling distribution of the sample proportion p̂: mean = p, SD = √(p(1−p)/n)
  • Central Limit Theorem (CLT): shape of sampling distributions for large n
  • Conditions for approximately normal sampling distribution of x̄ (n ≥ 30 or population normal)
  • Conditions for approximately normal sampling distribution of p̂ (Large Counts: np ≥ 10 and n(1−p) ≥ 10)
  • 10% condition: sample size ≤ 10% of population (for independence)
  • Standard error vs. standard deviation distinction
  • Simulation as a method for building empirical sampling distributions