Central Limit Theorem (problems 4, 5, 6, 8 I believe) > = > !!! ! ! or < = < !!! ! ! or < < = !!! ! ! < < !!! ! ! Confidence Interval for Mean If you know ⇒ ± ! ! ! ! ⇐ Problem 9 from handout or If unknown ⇒ ± ! ! ! ! ⇐ = − 1 Problem 14a / 15a from handout Confidence Interval for Proportion (Problem 23 from handout) ± ! ! ! ! ! Difference of 2 Proportions (Ex 8.8 p 413) ! − ! ± ! ! ! ! ! ! ! ! + ! ! ! ! ! ! Confidence Interval for Difference in Means ! − ! ± ! ! ! ! ! ! ! + ! ! ! ! ! ⇐ If is known ! − ! ± ! ! ! ! ! ! ! + ! ! ! ! ! ⇐ = min ! − 1, ! − 1 (Use if is unknown) ! − ! ± ! ! ⋅ ! ! ! ! + ! ! ! , where ! ! = ! ! ! ! ! !! !! ! ! ! ! !! ! ! !! ! !! Use if ! = ! , Unknown = ! + ! − 2 Confidence Interval for (Variance) (ChiSquared Table) (Ex. 8.13 p 435) ! ! !!! !! ! , ! ! !!! ! !! ! ! How large of a sample is needed? (Problem 24 from handout) = !! ! !"# ! ⋅ ⋅ ⇐ = Note: If no is given, then maximize ⋅ by choosing = 0.5 and = 0.5

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Central Limit Theorem (problems 4, 5, 6, 8 I believe) > = > !!!!! or < = < !!!!! or < < = !!!!! < < !!!!! Confidence Interval for Mean If you know !! !! Problem 9 from handout or If unknown !! !! = 1 Problem 14a / 15a from handout Confidence Interval for Proportion (Problem 23 from handout) !! !!! Difference of 2 Proportions (Ex 8.8 p 413) ! ! !! !!!!!! + !!!!!! Confidence Interval for Difference in Means ! ! !! !!!!! + !!!!! If is known ! ! !! !!!!! + !!!!! = min ! 1,! 1 (Use if is unknown) ! ! !! ! !!! + !!! , where !! = !!! !!!! !!!! !!!!!!!!!!! Use if ! = !, Unknown = ! + ! 2 Confidence Interval for (Variance) (Chi-Squared Table) (Ex. 8.13 p 435) !! !!!!!! , !! !!!!!!!! How large of a sample is needed? (Problem 24 from handout) = !!!!"# ! = Note: If no is given, then maximize by choosing = 0.5 and = 0.5