Mr Seinfeld owns three restaurants. Lately, he has been receiving several complaints about the cleanliness of his restaurants. John, one of his employees who has taken a business analytics class in his college years, was given the task of conducting a statistical test to determine if cleanliness among the restaurants is different. He recruited five fellow workers to serve as inspectors and their role is to grade the restaurants on a scale of 0 to 100. The results of their inspection are available in the following link:
Inspector Restaurant 1 Restaurant 2 Restaurant 3
Sinjini 72 54 84
Laura 68 55 85
Dawit 73 59 80
Michael 69 60 82
Thuy 75 56 84
John will the inspectors as blocks when conducting ANOVA test. He will also use a 5% level of significance when conducting hypothesis testing.
What is the main null hypothesis implied in this problem?
a. μ(1)=μ(2)=μ(3)=μ(4)=μ(5)
b. μ(1)=μ(2)=μ(3)