10.3 Matched Samples - Outcome 10.3Be able to analyze the...

Hypothesis Tests
Statistical Inference
About Means and
Proportions with Two
Populations

BUQU 1230

Esther Tiessen
Outcome 10.3—Be
able to analyze the
difference between
two population
means when the
samples are
matched.

Hypothesis Tests
Two Populations
Statistical inference about the difference between
two population:
ü
means (σ1 and σ2 known)
ü
means (σ1 and σ2 unknown)

means (matched samples)
 proportions

Hypothesis Tests
Two Populations
Statistical inference about the difference between
two population:
ü
means (σ1 and σ2 known)
ü
means (σ1 and σ2 unknown)

means (matched samples)
 proportions
t -Test: Paired -Sample for Means

Hypothesis Tests
Example
A Winnipeg
based company
has documents
that must be
quickly
distributed to
district offices
throughout
Canada. The
firm must
decide between
two delivery
services, UPX
and INTEX, to
transport its
documents.
How can the
company
determine which
is the fastest

Hypothesis Tests
Example
A Winnipeg
based company
has documents
that must be
quickly
distributed to
district offices
throughout
Canada. The
firm must
decide between
two delivery
services, UPX
and INTEX, to
transport its
documents.
How can the
company
determine which
is the fastest
How would you help the company
determine which is the fastest
service?

Hypothesis Tests
Example
A Winnipeg
based company
has documents
that must be
quickly
distributed to
district offices
throughout
Canada. The
firm must
decide between
two delivery
services, UPX
and INTEX, to
transport its
documents.
How can the
company
determine which
is the fastest
Independent Samples
 a random set of documents
is chosen and each
document is sent by one of
the delivery services.

a second random set of
documents is chosen and
each document is sent by the
other delivery service

the results are analyzed as in
the previous section
How would you help the company
determine which is the fastest
service?

Hypothesis Tests
Example
A Winnipeg
based company
has documents
that must be
quickly
distributed to
district offices
throughout
Canada. The
firm must
decide between
two delivery
services, UPX
and INTEX, to
transport its
documents.
How can the
company
determine which
is the fastest
Independent Samples
 a random set of documents
is chosen and each
document is sent by one of
the delivery services.

a second random set of
documents is chosen and
each document is sent by the
other delivery service

the results are analyzed as in
the previous section
How would you help the company
determine which is the fastest
service?
results may be affected by the
distance travelled by
documents—because random
selection it may not be the
same for the 2 samples

Hypothesis Tests
Example
A Winnipeg
based company
has documents
that must be
quickly
distributed to
district offices
throughout
Canada. The
firm must
decide between
two delivery
services, UPX
and INTEX, to
transport its
documents.