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.