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14 Cards in this Set

  • Front
  • Back

Variable

An observed property of the individuals of a population.

Parameter

A calculated property of the individuals of a population. (e.g. ux)

Statistic

A calculated property of the individuals of a population. (e.g. x bars of n, p hats of n)

Population distribution of variable

It's distribution among all individuals of the population.

Sampling distribution of a statistic

It's distribution among all random samples of a given size n.

Notations

1. Symbols w/ subscripts x, y will always indicate parameters

Notation 2

Symbols w/ subscript n will always indicate stats of samples size n.

Notation 3

Symbol N will always rep population size

Sampling distribution of x bars of n

[the means of all random samples size n]

Ux bars of n= Ux

[mean of the sample means=population mean]

6x bars of n= 6x/square root of n

[standard dev. of sample means= (population standard deviation/ square root of n]

Sampling is normal if...

[n

Central limit theorem

(Sampling dist of x bars of n is normal if 30

Law of large numbers

x bars of n---> ux as sample size increases