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Statistics 2

Formulae
The Binomial, Poisson, ~(, )
Normal and Uniform ( = ) = (
) () (1 - )-
Distributions
() =
() = (1 - )
~()

( = ) = -
!
() =
() =
~(, 2 ) ~(0, 12 )
( = ) =…

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Continuous Random -
() = 1
Variables
() = -
()

() = ( 2 ) - ()2 = -
2 () - 2

() = ( ) = -
()
Hypothesis Testing (1 2 ) = ( 2 ) - ( 1 - 1)
( 1 )
( 2…

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Notes Tips
Sampling Population - A population is a collection of Know to identify:
individual members or items Sampling units (e.g. the patients)
Finite population - A finite population is a Sampling frames (e.g. a list of all patients
population which each individual member can be registered with the practice)…

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The Binomial, Poisson, ~(, ) Know to use the Binomial Cumulative Distribution
Normal and Uniform ( = ) = ( ) () (1 - )- Function table to find ( )

Distributions The conditions for a binomial distribution are:
() =
() = (1 - ) Trials are independent
Fixed…

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The conditions for approximating a binomial
distribution by a normal distribution are:
is large (i.e. > 50)
is close to half (i.e. 0.5) because the
binomial distribution is symmetrical
The conditions for approximating a Poisson
distribution by a normal distribution are:
is large (i.e. > 10)
~[, ] Know to…

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population parameter proposed by the null
hypothesis compared to the alternative hypothesis
Critical region ­ A critical region is a range of values
of a test statistic where the test is significant; that
would lead to the rejection of the null hypothesis
and acceptance of the alternative hypothesis; in a…

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State the conclusion by rejecting the null
hypothesis if less than 1 or greater than 2
(e.g. 1 < 2 < 10 so = 2 is not in the
critical region so accept 0 ; there is
insufficient evidence to suggest of an
increase in the mean level of satisfaction;…

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(e.g. 1 < 7 < 10 so = 7 is not in the
critical region so accept 0 ; there is
insufficient evidence to suggest of an
increase in the mean level of satisfaction;
Andrew's claim is not justified)

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