SME
Grade 12 Math
Sampling distributions and the central limit theorem
The main lesson, then each kind of problem it solves.
Sampling distributions and the central limit theorem
Main lesson
Sampling distribution of a proportion
Use this for “40% of voters agree. In a sample of 150, what is P(p̂ > 0.46)?”
Mean and spread of a binomial count
Use this for “In 40 trials with p = 0.25, find the mean and standard deviation of the count” (up to 40 trials).
The central limit theorem, simulated
Use this for “Wait times are skewed right with mean 4 minutes. How are the means of samples of 30 spread?”
Sample means and sums with any σ
Use this for “Bags of rice weigh 2 kg on average with σ = 0.12 kg. Find the chance that 36 bags average over 2.03 kg, or weigh over 73.08 kg in all.”