Question

In a completely randomized design involving three treatments, the following information is provided: Treatment 1 Treatment 2 Treatment 3 Sample Size 5 10 5 Sample Mean 4 8 9 The overall mean for all the treatments is a. 7.00 b. 6.67 c. 7.25 d. 4.89

Answer 1

Answer:

c. 7.25

Step-by-step explanation:

Given the following information from an experiment:

$\left\begin{array}{ccc}& Sample Size& Sample Mean \\ Treatment 1&5&4\\ Treatment 2&10&8\\ Treatment 3&5&9\end{array}\right$

Total Sample Size =5+10+5=20

Therefore, the overall mean

$=\dfrac{(5 \times 4)+ (10 \times 8) + (5 \times 9)}{20} \\=\dfrac{145}{20}\\\\=7.25$