Question

The management of an organization wants to test to see whether the rate of turnover of employees is the same in all the departments. samples over the last year show the following as the number of employees having left the company from the departments:

production: 5, 6, 3, 4, 6, 6
marketing: 3, 4, 4, 4, 3, 5
finance: 3, 3, 3, 2, 4, 5
accounting: 2, 3, 3, 5, 6, 4

state the null hypothesis for this anova.
a. all of the population means are different
b. all of the population means are the same
c. at least one of the population means is different
e. none of the others

Answer 1

C

Explanation:

The null hypothesis for this ANOVA (analysis of variance) problem can be stated as:

c. At least one of the population means is different.

In ANOVA, we test whether there is a significant difference between the means of multiple groups or populations. The null hypothesis assumes that all population means are the same, and any observed differences are due to random variation. In this case, we are testing if there is a difference in the employee turnover rates among the different departments.