Sampling Distributions
aligned to Act As A Responsible And Contributing Community Members And Employee. utilize Critical Thinking To Make Sense Of Problems And Persevere In Solving Them. use Technology To Enhance Productivity Increase Collaboration And Communicate Effectively. Mp.1 Make Sense Of Problems And Persevere In Solving Them mp.2 Reason Abstractly And Quantitatively mp.3 Construct Viable Arguments And Critique The Reasoning Of Others mp.4 Model With Mathematics mp.5 Use Appropriate Tools Strategically mp.6 Attend To Precision mp.7 Look For And Make Use Of Structure mp.8 Look For And Express Regularity In Repeated Reasoning s.id.a.4. Use The Mean And Standard Deviation Of A Data Set To Fit It To A Normal Distribution And To Estimate Population Percentages. Recognize That There Are Data Sets For Which Such A Procedure Is Not Appropriate. Use Calculators, Spreadsheets, And Tables To Estimate Areas Under The Normal Curve. Supporting (algebra 2) s.ic.a.1. (+) Understand Statistics As A Process For Making Inferences About Population Parameters Based On A Random Sample From That Population. s.ic.a.2. (+) Decide If A Specified Model Is Consistent With Results From A Given Data-generating Process, E.g., Using Simulation. s.ic.b.4. (+) Use Data From A Sample Survey To Estimate A Population Mean Or Proportion; Develop A Margin Of Error Through The Use Of Simulation Models For Random Sampling. s.cp.b.7. (+) Apply The Addition Rule, P(a Or B) = P(a)+p(b)-p(a And B), And Interpret The Answer In Terms Of The Model.
Learning Objective
I can describe how the mean of a sampling distribution, the corresponding population mean, and the population proportion are related.
Lesson Flow
Watch Video
Introduction to sampling distributions | Sampling distributions | AP Statistics | Khan Academy
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Practice
6 questions • Short answer
Exit Ticket
“A population has a mean of 100. If you take many random samples from this population and calculate the mean of each sample, what would you expect the mean of all these sample means to be close to? The average age of all students at a large university is 22 years. If you repeatedly take random samples of students and calculate the average age for each sample, what value would the mean of the sampling distribution of these averages be closest to? A company produces light bulbs with an average lifespan of 800 hours. If you take many random samples of these light bulbs and calculate the average lifespan for each sample, what value would you expect the mean of all of these sample means to be near?”
Teacher Guide
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