Download One Population Two Independent Populations Two Dependent

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One Population
Proportion
Mean
Use z distribution for ̂
Distribution for
Use z when is known
Use t when is unknown
Variance or Standard Deviation
distribution
Use
in hypothesis test
in confidence interval
Hypothesis Test
H0:
Hypothesis Test
:
or
:
√
√
when
is unknown
Hypothesis Test
H0:
Two Independent Populations
Difference of Means
Difference of Proportions
Use z distribution for ̂
̂
Distribution for
Use z when ,
Use t when ,
known
unknown
Confidence Interval
̂
̂ 1
̂
̂ 1
̂
̂
when
Hypothesis Test
:
0
1
1
̂
1
,
unknown
Confidence Interval:
̂
or
when
,
unknown
Hypothesis Test
H0:
0
Two Dependent Populations – Mean of Differences of Matched Pairs
(Treat as one population of differences for each of the matched pairs)
Mean of differences
is individual difference between the two values in a single
matched pair
Use t distribution for
Hypothesis Test
mean of sample differences for n matched pairs
0
H0:
standard deviation of sample differences for n matched pairs
mean of differences for the population of matched pairs
Confidence Interval
√
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