Random samples of employees from three different departments of MNM Corporation showed the following yearly incomes (in $1000). ​
At α = .05, test to determine if there is a significant difference among the average incomes of the employees from the three departments.Use both the critical and p-value approaches.

Critical Value

A point on the scale of the test statistic beyond which we reject the null hypothesis; it is used to determine the cutoff at which the test statistic is considered extreme.

P-value

The probability of observing test results as extreme as the results actually observed, under the assumption that the null hypothesis is true.

Level of Significance

The criterion used in statistical testing to decide whether to reject the null hypothesis, typically expressed as a probability threshold such as 0.05 or 0.01.