1. Inferences and Conclusions from Data
IM3 Statistics
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2. Learning Objectives
S.ID.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. S.IC.1 Understand that statistics allows inferences to be made about population parameters based on a random sample from that population. S.IC.2 Decide if a specified model is consistent with results from a given data-generating process,
S.IC.3 Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.
 S.IC.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.IC.5 Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
S.IC.6 Evaluate reports based on data.
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3. Glossary – Learning Target - Understand that statistics allows inferences to be made about population parameters based on a random sample from that population.
Population – A group that we are studying
Parameters – What we are trying to measure about our population
Random Sample – How we collect our data
Correlation – A relationship exists between our two variables
Causation – A causal relationship exists between our variables
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5. Parameters and Population Vocab Practice
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6. Glossary
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7. Glossary:
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13. Types of Studies - practice
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14. Strict Parents – Illustrative Math
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18. LT S.ID.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
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21. What is Standard Deviation and how can I calculate it?
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23. Calculate Standard Deviation Practice
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24. Is it normal? – From MVP
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34. Your Very Own Z –score table! - Handout
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36. Practice!
Practice
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37. HOMEWORK – z score practice
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38. Glossary
Population Mean – average value for the parameter of the WHOLE population. Expressed as “ “ Population Proportion – point estimate (single value) or as an interval (range of values) Ex: 80% of residents prefer “A” or 75% to 85% of residents prefer “A” “Sample Estimate” Margin of Error – because population proportion is only an estimate of the mu, we need to know how goof our estimate actually is. This has to do with sample size, sample standard deviation, and sample proportion generally these are done with a 95% confidence interval. In other words if 95/100 sample surveys were taken our result would be within our interval. Confidence interval: sample estimate ±𝑚𝑎𝑟𝑔𝑖𝑛 𝑜𝑓 𝑒𝑟𝑟𝑜𝑟.
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39. Margin of Error – What is it?
Video – Part Part Part 3
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40. Margin of Error Practice
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