Data from a randomized block design are shown in the following table.
Using $\alpha$ = 0.05,the critical F value for the treatments null hypothesis is ________.
A) 3.59
B) 4.76
C) 3.98
D) 5.14
E) 9.89

Question

Data from a randomized block design are shown in the following table.  
Using $\alpha$ = 0.05,the critical F value for the treatments null hypothesis is ________.
A) 3.59 
B) 4.76 
C) 3.98 
D) 5.14 
E) 9.89

Quizplus · Accepted Answer

To find the critical F-value, we need to calculate the degrees of freedom for the treatments (t) and the error (e). 
Degrees of freedom for treatments: k-1 = 3-1 = 2 
Degrees of freedom for error: (k-1) x (n-1) = 2 x 8 = 16

Using an F-table or calculator, with t=2 and e=16, and alpha=0.05, we get a critical F-value of 4.76. Therefore, the best choice is B.

Data from a Randomized Block Design Are Shown in the Following