Solution: Step 1: State the hypotheses. Ho(Treatment): H₁(Treatment): Ho(Blocks) H₁(Blocks) Step 2: The level of significance is Step 3: Determine the degrees of freedom and the critical value of F. df Treatment df Blocks = dfError= FTreatment FBlocks Step 4: Complete the table and compute for the value of F. Source of Sum of Degrees of Variation Squares Freedom Treatment (Bonding Blocks (Materials) Error Total Step 5: Decision Rule. Treatments: Blocks: Step 6: Conclusion. Treatments: Blocks: Agent) Mean of Squares F

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ANALYSIS OF VARIANCE
2. CSA Company is experimenting with the four (4) types of bonding agent (or glue)
for different materials. Each bonding agent is tested on eight (8) six different
materials. The adhesiveness of the bonding agent is measured, and recorded the
results are as follows. Construct the ANOVA table and test the hypothesis that
there is no difference in the four types of bonding agent at the 0.01 level of
significance.

Solution:
Step 1: State the hypotheses.
Ho(Treatment):
H₁(Treatment):
Ho(Blocks)
H₁ (Blocks)
Step 2: The level of significance is
Step 3: Determine the degrees of freedom and the critical value of F.
df Treatment =
df Error =
df Blocks =
FBlocks
FTreatment =
If you have problems in understanding the topics you may request a VIRTUAL MEETING through your class ca
Step 4: Complete the table and compute for the value of F.
Source of
Sum of
Degrees of
F
Variation
Squares
Freedom
Treatment
(Bonding
Blocks
(Materials)
Error
Total
Step 5: Decision Rule.
Treatments:
Blocks:
Step 6: Conclusion.
Treatments:
Blocks:
Agent)
Mean of
Squares
Transcribed Image Text:Solution: Step 1: State the hypotheses. Ho(Treatment): H₁(Treatment): Ho(Blocks) H₁ (Blocks) Step 2: The level of significance is Step 3: Determine the degrees of freedom and the critical value of F. df Treatment = df Error = df Blocks = FBlocks FTreatment = If you have problems in understanding the topics you may request a VIRTUAL MEETING through your class ca Step 4: Complete the table and compute for the value of F. Source of Sum of Degrees of F Variation Squares Freedom Treatment (Bonding Blocks (Materials) Error Total Step 5: Decision Rule. Treatments: Blocks: Step 6: Conclusion. Treatments: Blocks: Agent) Mean of Squares
Materials Bonding Agent
W
X
1
1.5
2
2.0
3
2.4
4
2.8
5
3.3
3.8
4.0
4.6
678
1.7
2.2
2.6
2.7
3.1
3.7
4.0
4.4
Y
1.6
2.2
2.5
2.5
3.0
3.5
4.2
4.9
Z
1.6
2.0
2.5
2.4
3.0
3.8
4.2
4.5
Transcribed Image Text:Materials Bonding Agent W X 1 1.5 2 2.0 3 2.4 4 2.8 5 3.3 3.8 4.0 4.6 678 1.7 2.2 2.6 2.7 3.1 3.7 4.0 4.4 Y 1.6 2.2 2.5 2.5 3.0 3.5 4.2 4.9 Z 1.6 2.0 2.5 2.4 3.0 3.8 4.2 4.5
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