Question

In a completely randomized experimental design involving three assembly methods, 30 employees were randomly selected and 10 were assigned to each of the three methods. The time required to complete the task was recorded. The following information is provided: MSTR = 45.89 and MSE = 6.27. What is the critical value of F if we want to determine whether the means of the three populations are equal at the 5% level of significance?

Answer 1

The answer is "3.35".

Explanation:

Treatment independence degree

`= 3 - 1 \\\\= 2`

Grade of error independence

`= 30 - 3 \\\\= 27`

`\alpha = 0.05`

F is the critical value
`= 3.35`

with the use of the critical value table F or the Excel command
`FINV(0.05,2,27)`