In a completely randomized design involving four treatments, the following information is provided. The overall mean (the grand mean) for all treatments is
A)40.0
B)37.3
C)48.0
D)37.0

Question

In a completely randomized design involving four treatments, the following information is provided.  The overall mean (the grand mean) for all treatments is
A)40.0 
B)37.3 
C)48.0 
D)37.0

Quizplus · Accepted Answer

The overall mean is calculated by taking the average of all individual treatment means. Since no information is given about the individual treatment means, we cannot calculate the grand mean. However, we can eliminate choices C and D as they are outside the range of possible means for four treatments. Choice A cannot be determined without further information. Therefore, the best answer is B, which is the only option within the possible range of means for four treatments.

In a Completely Randomized Design Involving Four Treatments, the Following