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. Blocks of Evaluators 1 2 3 4 5 X 18 19 16 10 14 Restaurants Y 18 17 16 18 20 Z 12 13 11 10 9 Use a level of significance of a = 0.05, is there evidence of a difference in evaluation between restaurants?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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Solution:
Step 1: State the hypotheses.
Ho:
H₁:
Step 2: The level of significance and critical region. α =
Step 3: Compute for the value of one sample t test. tcomputed =
Step 4: Decision rule.
Step 5: Conclusion.
df =
and tritical =
Transcribed Image Text:Solution: Step 1: State the hypotheses. Ho: H₁: Step 2: The level of significance and critical region. α = Step 3: Compute for the value of one sample t test. tcomputed = Step 4: Decision rule. Step 5: Conclusion. df = and tritical =
Answer the following problems. Apply the different steps in hypothesis testing.
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.
Blocks of Evaluators
1
2
3
4
5
X
18
19
16
10
14
Restaurants
Y
18
17
16
18
20
Z
12
13
11
10
9
Use a level of significance of a = 0.05, is there evidence of a difference in evaluation
between restaurants?
Transcribed Image Text:Answer the following problems. Apply the different steps in hypothesis testing. 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. Blocks of Evaluators 1 2 3 4 5 X 18 19 16 10 14 Restaurants Y 18 17 16 18 20 Z 12 13 11 10 9 Use a level of significance of a = 0.05, is there evidence of a difference in evaluation between restaurants?
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