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AP Statistics Monday , 10 February 2014

AP Statistics Monday , 10 February 2014. OBJECTIVE TSW review for tomorrow’s test on confidence intervals. ASSIGNMENTS DUE TOMORROW All bookwork assignments from calendar. Test Topics: Confidence Intervals. Construct a confidence interval from a given level of confidence.  known z*

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AP Statistics Monday , 10 February 2014

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  1. AP StatisticsMonday, 10 February 2014 • OBJECTIVETSW review for tomorrow’s test on confidence intervals. • ASSIGNMENTS DUE TOMORROW • All bookwork assignments from calendar.

  2. Test Topics: Confidence Intervals • Construct a confidence interval from a given level of confidence. •  known • z* •  unknown • t* • Always include assumptions, calculations, AND conclusion. • “We are --% confident that the true mean of <context> lies within the interval <low, high>. • Determine sample size to obtain a given margin of error.

  3. Test Topics: Confidence Intervals • Determine critical value: • z* • Blue chart: Find p in the table, determine the corresponding z-score • Calculator: invNorm(p) • t* • Degrees of freedom (df) = sample size (n) – 1 • Green chart (B): • Find CL at the bottom and df on the left side: cv = intersection point • Calculator: invT(p, df)

  4. Test Topics: Confidence Intervals • Determine normality of a distribution • Given (the problem explicitly states, “normal distribution”) • Sample size (n) > 30 • Graph shows normality • Histogram • Boxplot • Quantile plot • Vocabulary • Standard error • Margin of error • Robust • Know the characteristics of confidence intervals • “What happens when . . .”

  5. QUIZ: Confidence Intervals 1) B 2)B 3) A 4) D 5) false, 2.624 6) false, larger 7) true 8) false, standard deviation or standard error but not margin of error 9)true

  6. QUIZ: Confidence Intervals 10)a) (122.28, 129.72) b) The consultant is incorrect. His prediction of $130 lies outside the 90% confidence interval. c) 239 weekdays 11) Sample B has a larger sample size. The CI is smaller (1.2) compared to the CI for sample A (1.4); a larger sample size yields a smaller CI, ceteris paribus (all other things being equal). 12) (238.32, 261.68) (t* = 2.032)

  7. WS: AP Review – Confidence Intervals (z) 1)C 2)C 3) E 4)B 5)A 6)E 7) D 8) C

  8. WS: AP Review – z & t Intervals with means 1) D 8) E 2) B 9) D 3) A 10) B 4) B 11) D 5) C 12) B 6) E 13) A 7)C

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