Hypothesis Testing
with Two Samples
,§ 8.1
Testing the
Difference Between
Means
(Large Independent
Samples)
, Two Sample Hypothesis
Testing
In a two-sample hypothesis test, two parameters
from two populations are compared.
For a two-sample hypothesis test,
1. the null hypothesis H0 is a statistical hypothesis that
usually states there is no difference between the
parameters of two populations. The null hypothesis
always contains the symbol , =, or .
2. the alternative hypothesis Ha is a statistical
hypothesis that is true when H0 is false. The alternative
hypothesis always contains the symbol >, , or <.
, Two Sample Hypothesis
Testing
To write a null and alternative hypothesis for a two-
sample hypothesis test, translate the claim made
about the population parameters from a verbal
statement to a mathematical statement.
H0: μ1 = H0: μ1 H0: μ1
μ2 μ2 μ2
Ha: μ1 μ2 Ha: μ1 > μ2 Ha: μ1 < μ2
Regardless of which hypotheses used, μ1 = μ2 is
always assumed to be true.
with Two Samples
,§ 8.1
Testing the
Difference Between
Means
(Large Independent
Samples)
, Two Sample Hypothesis
Testing
In a two-sample hypothesis test, two parameters
from two populations are compared.
For a two-sample hypothesis test,
1. the null hypothesis H0 is a statistical hypothesis that
usually states there is no difference between the
parameters of two populations. The null hypothesis
always contains the symbol , =, or .
2. the alternative hypothesis Ha is a statistical
hypothesis that is true when H0 is false. The alternative
hypothesis always contains the symbol >, , or <.
, Two Sample Hypothesis
Testing
To write a null and alternative hypothesis for a two-
sample hypothesis test, translate the claim made
about the population parameters from a verbal
statement to a mathematical statement.
H0: μ1 = H0: μ1 H0: μ1
μ2 μ2 μ2
Ha: μ1 μ2 Ha: μ1 > μ2 Ha: μ1 < μ2
Regardless of which hypotheses used, μ1 = μ2 is
always assumed to be true.
