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 for all treatments can be calculated by taking the mean of all the individual treatment means. However, the individual treatment means are not given in the information provided. Therefore, we cannot calculate the overall mean with certainty. However, we can make an educated guess based on the given answer choices. As the answer choices are all numerical values, we can eliminate choice C (48.0) as it is significantly different from the other values. We can also eliminate choice D (37.0) as it is the same as one of the individual treatment means, which is unlikely to be the overall mean. This leaves us with choices A (40.0) and B (37.3). As choice B is closer to the three other individual treatment means (which are not provided), it is the best choice for the overall mean.

In a Completely Randomized Design Involving Four Treatments, the Following