Guide to Using Minitab 14 For Basic
Statistical Applications
To Accompany
Business Statistics: A Decision Making
Approach, 8th Ed.
Chapter 13:
Goodness-of-Fit Tests and Contingency
Analysis
By
Groebner, Shannon, Fry, & SmithPrentice-Hall Publishing Company
Copyright, 2011
Chapter 13 Minitab Examples
Goodness of Fit Test
Woodtrim Products
Contingency Analysis
Benton Stone and Tile
Goodness-of-Fit -
Woodtrim Products
Issue: The company has recently become concerned
the ripsaw may not be cutting to the manufacturer’s
specifications
Objective: Use Minitab to determine whether the data
set’s distribution is consistent with the manufacturer’s
specifications.
Data file is Woodtrim.MTW
Open File Woodtrim.MTW
Goodness-of-Fit – Woodtrim Products
Click on Stat,
then Basic
Statistics and
then
Normality
Test.
Minitab has a
special option
for testing
Normality.
Goodness-of-Fit – Woodtrim Products
Identify the
Variable to test.
Any of these Tests
will work.
Goodness-of-Fit – Woodtrim Products
The p-value
indicates the
hypothesis
should be
rejected.
The hypotheses are:
H0: Data are
normally distributed.
HA: Data are not
normally distributed.
Goodness-of-Fit – Woodtrim Products
Contingency Analysis -
Benton Stone and Tile
Issue: The company was interested in determining
the relationship between absenteeism and marital
status.
Objective: Use Minitab to determine whether there is
a statistically significant relationship between
absenteeism and marital status.
Data file is Benton.MTW
Open File Benton.MTW
Contingency Analysis – Benton Stone and Tile
Click on Stat,
then Tables
and then Chi-
Square Test.
Contingency Analysis – Benton Stone and Tile
Specify the
columns
containing the
table data.
Contingency Analysis – Benton Stone and Tile
The Minitab output gives the
expected frequencies and the
row and column totals.
Contingency Analysis – Benton Stone and Tile
Since p-value > alpha = 0.05,
do not reject the null
hypothesis and therefore can’t
conclude that a absenteeism
and marital status are not
independent.