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

c. 7.25

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

`=((5 * 4)+ (10 * 8) + (5 * 9))/(20) \\=(145)/(20)\\\\=7.25`