Step 4: Complete the table and compute for the value of F. Degrees of Freedom Source of Sum of Mean of F Variation Squares Squares Treatment (Bonding Agent) Blocks (Materials) Error Total

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Step 4: Complete the table and compute for the value of F.
Mean of
Source of
Variation
Sum of
Degrees of
Freedom
F
Squares
Squares
Treatment
(Bonding
Agent)
Blocks
(Materials)
Error
Total
Step 5: Decision Rule.
Treatments:
Blocks:
Step 6: Conclusion.
Treatments:
Blocks:
Transcribed Image Text:Step 4: Complete the table and compute for the value of F. Mean of Source of Variation Sum of Degrees of Freedom F Squares Squares Treatment (Bonding Agent) Blocks (Materials) Error Total Step 5: Decision Rule. Treatments: Blocks: Step 6: Conclusion. Treatments: Blocks:
2. Suppose that a Restaurant chain specialized with pasta having three branches in a
particular geographic location would like to evaluate the service at this restaurant. The
researcher for the restaurant hires 18 investigators (evaluator) with varied experiences in
food- service evaluations. After the initial consultations, the 15 investigators are stratified
into five blocks of three-based on food service evaluation experience- so that three most
experience evaluators are placed in block 1, the next three most experienced evaluators
are placed in block 2, and so on. Within each of the five homogeneous blocks, the three
evaluators are then randomly assigned to evaluate the service at a particular restaurant
using a rating scale from 0 (low) to 20 (high). The results are summarized in the table.
Restaurants
Blocks of Evaluators
Y
Z
1
18
18
12
19
17
13
3
16
16
11
10
18
10
14
20
9
Use a level of significance of a = 0.05, is there evidence of a difference in evaluation
between restaurants?
Solution:
Step 1: State the hypotheses.
HOrTreatment).
H(Treatment).
HOVBlocks)
H(Blocks)
Step 2: The level of significance is
Step 3: Determine the degrees of freedom and the critical value of F.
dfTreatment
dfplocks
dferor
FTreatment
FBlocks=
Transcribed Image Text:2. Suppose that a Restaurant chain specialized with pasta having three branches in a particular geographic location would like to evaluate the service at this restaurant. The researcher for the restaurant hires 18 investigators (evaluator) with varied experiences in food- service evaluations. After the initial consultations, the 15 investigators are stratified into five blocks of three-based on food service evaluation experience- so that three most experience evaluators are placed in block 1, the next three most experienced evaluators are placed in block 2, and so on. Within each of the five homogeneous blocks, the three evaluators are then randomly assigned to evaluate the service at a particular restaurant using a rating scale from 0 (low) to 20 (high). The results are summarized in the table. Restaurants Blocks of Evaluators Y Z 1 18 18 12 19 17 13 3 16 16 11 10 18 10 14 20 9 Use a level of significance of a = 0.05, is there evidence of a difference in evaluation between restaurants? Solution: Step 1: State the hypotheses. HOrTreatment). H(Treatment). HOVBlocks) H(Blocks) Step 2: The level of significance is Step 3: Determine the degrees of freedom and the critical value of F. dfTreatment dfplocks dferor FTreatment FBlocks=
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