Question: A company that produces synthetic fiber believes that quality has been compromised in recent months.

The company decides to randomly sample from four production machines and three operators. The

breaking strength of the produced fiber is collected from each sample. The results are as follows:

Machine

Operator 1 2 3 4

1

109 110 108 110

110 115 109 108

2

110 110 111 114

112 111 109 112

3

116 112 114 120

114 115 119 117

1. What is the name of this experimental design?
2. Use a two-way ANOVA to show that there is no interaction between the operator and the machine.
   Include the ANOVA table in your write up.
3. Use a two-way ANOVA to determine if there are main effects of machine and/or operator (i.e.,
   remove the interaction term from your model). Include the ANOVA table in your write up.
4. If there is a significant effect of machine, use Tukey's post-hoc test to determine which pairs of
   machines are significantly different.
5. If there is a significant effect of operator, use Tukey's post-hoc test to determine which operators
   are significantly different.
6. What recommendations would you make to the company that commissioned this project? Is this

an operator problem or a machine problem? (Or both?)

Price: $2.99

Solution: The downloadable solution consists of 6 pages
Deliverable: Word Document