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 table. 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. Are the conditions for inference met? No, the random condition is not met. No, the 10% condition is not met. No, the Large Counts condition is not met. Yes, all three conditions for inference are met.
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 table.
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.
Are the conditions for inference met?
![Time of Meal
Peak
Off-Peak
5
13
2
5
Rating
3
12
16
4
40
21
5
35
15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe45c43b6-3e32-4ab7-bdfa-679f0560bcdd%2F0169cdf8-8cf9-49c2-adab-59eaad097f23%2Fui1lsdv_processed.jpeg&w=3840&q=75)
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