Question

Below is the information for a completely randomized experimental design involving four treatments, where 12 observations were recorded for each treatment for a total of 48 observations.

SST = 210 (Sum of Squares Between Groups)
SS Total = 840 (Sum of Squares Total)
The computed value of F, or the test statistic, is ______.
A. 0.25
B. 12.0
C. 4.88
D. 8.0

Answer 1

C. 4.88

Explanation:

The computation of the Value of F is shown in the attachment below.

Data provided in the question is as follows

Number of treatments = 4

Total number of observations = 12 × 4 = 48

SST = 210

SS = 840

So, SSW is

= SS - SST

= 840 - 210

= 630

Based on the above information, the value of F is 4.88

Hence, the correct option is C. 4.88