Sampling Distributions

Sampling Distribution

a distribution of all possible sample statistics of size n

sample statistics

means/proportions

center

spread

shape

Normal Model

total area under normal curve

100%

z-score to the left, right, between

• Left: # in table

• Right: 1 - # in table

• Between: # in table - other # in table

z-score equation

the probability is also the ____

relative frequency

calculator

L1: data

L2: frequencies

Calc FreqList = L2

Properties of sampling distributions

Conditions for proportions of means

• randomization condition

• 10% conditions

• large enough sample condition

***ALWAYS check conditions before proceeding with a problem

Randomization condition

10% condition

large enough sample condition

Central Limit Theorem (CLT)

Example of writing out conditions for distribution of means

population distribution

Sampling distribution

Dot Plot (means)

Dot plot (proportions)

sampling distribution of proportions

a distribution of all possible sample proportions of size n

center

spread

population variance

shape

If not normal…

formula and notation

conditions for proportions

condition example of proportions

always have proportion and z score statements