AP Statistics Formula Card mean µ and standard deviation , then: If x is the mean
of a random sample. µx = µ x = n of size n from an infinite population with. 2 ...
AP Statistics Formula Card I. Descriptive Statistics " xi x= n
II. Probability
P(A # B) = P( A) + P( B) $ P(A % B) P(A | B) =
!
!
1 (x i $ x )2 " n $1
sx =
(n1 $ 1)s12 + (n2 $1)s22 (n1 $ 1) + (n2 $1)
sp =
!
E(X ) = µx = " x i pi
!
Var(X) = & 2x = " (x i $ µx )2 pi
!
If X has a binomial distribution with parameters n and p,
!
then:
'n * P(X = k) = ) , pk (1$ p) n$k ( k+ µx = np
yˆ = b0 + b1 x ! !
b1 =
" (x $ x )(y $ y ) " (x $ x ) i
i
2
i
! !
& x = np(1$ p)
! !
µ pˆ = p p(1$ p) n
b0 = y $b1 x
!
& pˆ =
' x i $ x *' y i $ y * 1 r= , " ) ,) n $ 1 ( sx +)( sy ,+ s b1 = r y sx
!
If x is the mean of a random sample of size n from an infinite population with mean µ and standard deviation & , then: µx = µ
! ! !
! !
P( A % B) P(B)
" (y sb1 =
i
&x =
& n
!
$ yˆ i ) 2
n$2 "(x i $ x )2
!
!
2
III. Inferential Statistics
Standardized test statistic:
statistic - parameter standard deviation of statistic
