Question

The value of $F$ calculated from the ANOVA table below (rounded off to one decimal place) is ______

Sum of Square (SS)	Degree of freedom (df)	Mean Square (MS)
Between	54	3	18
Within	100	20	5

Hint:

In one-way ANOVA, \(F = MS_{\text{between}}/MS_{\text{within}}\). Always verify MS values using \(MS=SS/df\) before computing \(F\).

Answer 1

Correct Answer: 3.6

Step 1: Confirm mean squares.
Within MS $= \dfrac{SS_\text{within}}{df_\text{within}}=\dfrac{100}{20}=5$ (matches the table).
Between MS $= 18$ (given).

Step 2: Compute the $F$ statistic.
\(F = \dfrac{MS_\text{between}}{MS_\text{within}}=\dfrac{18}{5}=3.6\).
Final Answer: 3.6