AP Statistics Inference Procedures

conditions of z-procedure on proportions

1. random

2. 10% Rule

3. Large Enough: np>10 ; n(1-p)>10

*Summary Statement

conditions of 2 sample z-procedure on proportions

1. random assignment/independence

2. Large Enough: n1p1>10 ; n1(1-p1)>10 AND n2p2>10 ; n2(1-p2)>10

conditions of t-procedure on means

1. random sample

2. approx. normal

*given

*n>30

*graph (normal probability)

3. σ is unknown

conditions of 2 sample t-procedure on means

1. samples independently selected

2. each sample is random

3. Large Enough: n1>30 ; n2>30

conditions of match pairs t-procedure

1. samples are paired

2. Large Enough: nd>30

3. random samples

confidence interval for z-procedure on proportions

p±z*√p(1-P)/n

confidence interval for 2 sample z-procedure on proportions

p1-p2±z*(√(p1(1-P)/n2)+(p2(1-p2)/n2))

confidence interval for t-procedure on means

x̅±t*(s/√n)

confidence interval for 2 sample t-procedure on means

(x̅1-x̅2)±t*√(s1²/n1)+(s2²/n2)

confidence interval for match pairs t-procedure

x̅d±t*(sd/√n)

z-score for z-procedure on proportions

Z=(p̂-p)/(√p(1-p)/n)

z-score for 2 sample z-procedure on proportions

Z=(p̂1-p̂2)/(√((p̂1(1-p̂1))/n1)+((p̂2(1-p̂2))/n2)))

t-score for t-procedure on means

t=(x̅-μ)/(s/√n)

t-score for 2 sample t-procedure on means

t=(x̅1-x̅2)/√((s1²/n1)+(s2²/n2))

t-score for match pairs t-procedure

t=(x̅d-μd(*0))/(sd/√n)

hypothesis test z-procedure on proportions

p=,<,>_____

hypothesis test 2 sample z-procedure on proportions

p1=,<,>p2

hypothesis test t-procedure on means

μ=,<,>_____

hypothesis test 2 sample t-procedure on means

μ1=,<,>μ2

hypothesis test match pairs t-procedure

μd=,<,>0