What is the critical value for the F- test at 95% confidence? DF SS MS F p Factor 3 13.500 4.500 5.17 0.011 Error 16 13.925 0.870 Total 19 27.425

3.239

Step-by-step explanation:

Given the ANOVA table :

DF SS MS___ F___ p

Factor __3 ___13.500__ 4.500 _5.17 __0.011

Error ___16 __ 13.925 ___0.870

Total ___19 __ 27.425

The critical value for the F - test at 95%

Using the F- test critical value calculator :

Where α = 1 - 95% = 1 - 0.95 = 0.05

Numerator degree of freedom = (DF of factor) = 3

Denominator degree of freedom = (DF of Error) = 16

Significance level = 0.05

Inputting the values into the calculator gives a F critical value of 3.239

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

the answer is two. hope this !