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

Since the overall mean for all treatments is not given explicitly, we need to calculate it using the information provided. There are different ways to do this, but one common approach is to take the average of all observations in the design. Using the data in the table, we can calculate the overall mean as follows:

(34 + 32 + 45 + 47 + 37 + 43 + 41 + 31) / 8 = 37.25

Therefore, the closest option to the calculated overall mean is B: 37.3. The other options are either too high or too low, so they can be ruled out.

In a Completely Randomized Design Involving Four Treatments,the Following Information