A restaurant manager suspects that service declines during off-peak hours. To investigate, he selects a random sample of 100 customers who dined in his restaurant during peak hours and a random sample of 70 customers who dined in his restaurant during off-peak hours. Each customer rated the service on a scale of 1 to 5, where 1 = highly dissatisfied and 5 = highly satisfied. The results are displayed in the tables. Observed counts: Expected counts: The manager would like to test these hypotheses: H0: There is no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours. Ha: There is a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours. The conditions for inference are met. What is the value of the chi-square test statistic and P-value of this test? Find the chi-square table here. χ‑2 = 13.88. The P-value is between 0.005 and 0.01. χ‑2 = 13.88. The P-value is between 0.10 and 0.15. χ‑2 = 15.82. The P-value is between 0.0025 and 0.005. χ‑2 = 15.82. The P-value is between 0.05 and 0.10.
A restaurant manager suspects that service declines during off-peak hours. To investigate, he selects a random sample of 100 customers who dined in his restaurant during peak hours and a random sample of 70 customers who dined in his restaurant during off-peak hours. Each customer rated the service on a scale of 1 to 5, where 1 = highly dissatisfied and 5 = highly satisfied. The results are displayed in the tables. Observed counts: Expected counts: The manager would like to test these hypotheses: H0: There is no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours. Ha: There is a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours. The conditions for inference are met. What is the value of the chi-square test statistic and P-value of this test? Find the chi-square table here. χ‑2 = 13.88. The P-value is between 0.005 and 0.01. χ‑2 = 13.88. The P-value is between 0.10 and 0.15. χ‑2 = 15.82. The P-value is between 0.0025 and 0.005. χ‑2 = 15.82. The P-value is between 0.05 and 0.10.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
A restaurant manager suspects that service declines during off-peak hours. To investigate, he selects a random sample of 100 customers who dined in his restaurant during peak hours and a random sample of 70 customers who dined in his restaurant during off-peak hours. Each customer rated the service on a scale of 1 to 5, where 1 = highly dissatisfied and 5 = highly satisfied. The results are displayed in the tables.
Observed counts:
Expected counts:
The manager would like to test these hypotheses:
H0: There is no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.
Ha: There is a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.
The conditions for inference are met. What is the value of the chi-square test statistic and P-value of this test?
Find the chi-square table here.
χ‑2 = 13.88. The P-value is between 0.005 and 0.01.
χ‑2 = 13.88. The P-value is between 0.10 and 0.15.
χ‑2 = 15.82. The P-value is between 0.0025 and 0.005.
χ‑2 = 15.82. The P-value is between 0.05 and 0.10.
Transcribed Image Text:Time of Meal
Peak
Off-Peak
1
10.59
7.41
7.65
5.35
Rating
3
16.47
11.53
4
35.88
25.12
5
29.41
20.59
Transcribed Image Text:Time of Meal
Peak
Off-Peak
1
5
13
2
8
5
Rating
3
12
16
40
21
35
15
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