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AP Statistics Inference Review

AP Statistics Inference Review. Chapters 26-27. Example: The expected distribution at BMHS is uniform across the 9 th , 10 th , 11 th and 12 th g rade. If there are 400 9 th graders, 350 10 th graders, 415 11 th graders and 365 12 th graders,

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AP Statistics Inference Review

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  1. AP Statistics Inference Review Chapters 26-27

  2. Example: The expected distribution at BMHS is uniform across the 9th, 10th, 11th and 12th grade. If there are 400 9th graders, 350 10th graders, 415 11th graders and 365 12th graders, is there evidence that the distribution has changed? Parameter: Distribution of 9th – 12th graders at BMHS Hypothesis: Ho: The distribution is uniform Ha: The distribution is not uniform Asumptions: Data is in counts 2) ECF: Each expected count is 382.5 3) Random: Data is representative of typical classes at BMHS Name: Chi Square GOF Test Test Stats: 3 df Obtain P: P = .068(Draw distribution) Make Decision: We fail to reject Ho. Conclusion: Since P = .068there is not enough evidence that the distribution has changed.

  3. Example: The distribution of AP Statistics scores between BMHS and NHS is shown below. Is there evidence that one of the schools performs better than the other school? Parameter: Distribution of AP statistics scores between NHS and BMHS Hypothesis: Ho: The distribution is the same for both high schools Ha: The distribution is not the same between the 2 high schools Assumptions: Data is in counts 2) Random: Data is representative of typical classes at BMHS

  4. ECF: We must combine 1’s and 2’s

  5. Name: Chi Square Homogeneity Test Test Stats: 2 df Obtain P: P = .03 (Draw distribution) Make Decision: We reject Ho. Conclusion: Since P = .03 there is evidence that the distributions are not the same between the 2 schools. It appears students at BMHS tend to score higher.

  6. Example: The distribution of Precalculus grades between males and females at a local high school are shown below. Is there evidence of an association? Parameter: The association between Precalculus grade and gender at the local high school Hypothesis: Ho: There is no association between grades and gender Ha: There is an association between grade and gender Assumptions: Data is in counts 2) Random: Data is representative of typical Precalc classes

  7. ECF: Name: Chi Square Independence Test Test Stats: 4df Obtain P: P = .39 (Draw distribution) Make Decision: We fail to reject Ho. Conclusion: Since P = .39 there is no evidence of an association between grade and gender In the Precalculus classes at this school

  8. Parameter: B = linear association between farms and acreage

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