Question

question 13 of 13 step 8 of 8 consider the following table: step 8 of 8: is f significant at 0.1? answer 1 point

Explanation:

Step1: Calculate SS among treatments

We know that $SS_{total}=SS_{among - treatments}+SS_{error}$. So, $SS_{among - treatments}=SS_{total}-SS_{error}=6479.32 - 3044.86=3434.46$.

Step2: Calculate DF for error

$DF_{total}=DF_{among - treatments}+DF_{error}$. So, $DF_{error}=DF_{total}-DF_{among - treatments}=16 - 3 = 13$.

Step3: Calculate MS among treatments and error

$MS_{among - treatments}=\frac{SS_{among - treatments}}{DF_{among - treatments}}=\frac{3434.46}{3}=1144.82$.
$MS_{error}=\frac{SS_{error}}{DF_{error}}=\frac{3044.86}{13}=234.22$.

Step4: Find critical F - value

For $\alpha = 0.1$, $DF_{1}=3$ (numerator degrees - of - freedom) and $DF_{2}=13$ (denominator degrees - of - freedom), from the F - distribution table, the critical F - value $F_{crit}\approx2.46$.

Step5: Compare F - value and critical F - value

The calculated $F = 4.89$ and the critical $F_{crit}\approx2.46$. Since $4.89>2.46$.

Answer:

Yes