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. ? 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

x?�t*(s/?n)

confidence interval for 2 sample t-procedure on means

(x?1-x?2)�t*?(s1�/n1)+(s2�/n2)

confidence interval for match pairs t-procedure

x?d�t*(sd/?n)

z-score for z-procedure on proportions

Z=(p?-p)/(?p(1-p)/n)

z-score for 2 sample z-procedure on proportions

Z=(p?1-p?2)/(?((p?1(1-p?1))/n1)+((p?2(1-p?2))/n2)))

t-score for t-procedure on means

t=(x?-?)/(s/?n)

t-score for 2 sample t-procedure on means

t=(x?1-x?2)/?((s1�/n1)+(s2�/n2))

t-score for match pairs t-procedure

t=(x?d-?d(*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

?=,<,>_____

hypothesis test 2 sample t-procedure on means

?1=,<,>?2

hypothesis test match pairs t-procedure

?d=,<,>0