In a completely randomized design involving four treatments, the following information is provided. $\begin{array}{llcc}&\text { Treatment } 1&\text { Treatment } 2&\text { Treatment } 3&\text { Treatment } 4\
\text { Sample Size } &50&18&15&17 \
\text { Sample Mean } &32&38&42&48
\end{array}$ The overall mean the grand mean) for all treatments is
A) 40.0
B) 37.3
C) 48.0
D) 37.0

Question

Quizplus · Accepted Answer

The grand mean is calculated by taking the weighted average of the sample means, considering the sample sizes. The calculation is: $(50 \times 32 + 18 \times 38 + 15 \times 42 + 17 \times 48) / (50 + 18 + 15 + 17) = 37.3$.

In a Completely Randomized Design Involving Four Treatments, the Following