Mathematics III Making Inferences and Justifying Conclusions

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Making Inferences and Justifying Conclusions

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Understand and evaluate random processes underlying statistical experiments.
1. Understand statistics as a process for making inferences to be made about population parameters based on a random
sample from that population.
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2. Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For
example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to
question the model?
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Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
3. Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how
randomization relates to each.
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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.
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5. Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between
parameters are significant.
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6. Evaluate reports based on data.