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AP Statistics Confidence Intervals Flashcards

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8774557258What conditions must be checked if σ is given?-SRS: data must be random -Normality: given or CLT (20 or more values) -Independence: N≥10n0
8774557259What conditions must be checked if σ is unknown?-SRS: data must be random -Normality: single-peaked, bell curve -Independence: N≥10n1
8774557260What conditions must be checked if estimating proportion?-SRS: data must be random -Normality: np≥10, n(1-p)≥10 -Independence: N≥10n2
8774557261ConclusionWe can say with C% confidence that mean/proportion is within the interval (Estimate±margin of error)3
8774557262Test statistic when estimating µ (σ given)z*4
8774557263Test statistic when estimating µ (σ unknown)t*5
8774557264Test statistic when estimating pz*6
8774557265Confidence intervalestimate±(test statistic*standard error)7
8774557266Standard error when estimating µ (σ given)σ/√n8
8774557267Standard error when estimating µ (σ unknown)s/√n9
8774557268Standard error when estimating p√(p^(1-p^)/n)10
8774557269How to find the test statistic-Use confidence level to find tail areas (1-C/2) -use invT or invNorm11
8774557270Degrees of freedom-n-1 -needed only when using t test statistic12
8774557271Paired t procedures-x and s come from the difference in the pairs -solve as normal -conclusion is the interval of difference13
8774557272Comparing two means-estimate will be sample 1 est - sample 2 est -standard error becomes (√(σ²₁/n₁)+(σ²₂/n₂)) -must square standard deviations (replace σ with s if σ is unknown) -must specify which population was subtracted from which in conclusion14
8774557273Comparing two proportion-estimate will be sample 1 prop - sample 2 prop -standard error: √(p^₁(1-p^₁)/n₁)+(p^₂(1-p^₂)/n₂) -must check normality conditions for both populations15

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