An anova procedure is applied to data obtained from 6 samples where each sample contains 20 observations. the degrees of freedom for the critical value of f areselect one: a. 6 numerator and 20 denominator degrees of freedomb. 5 numerator and 14 denominator degrees of freedomc. 5 numerator and 114 denominator degrees of freedomd. 6 numerator and 20 denominator degrees of freedom

C. 5 numerator and 114 denominator degrees of freedom

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

If we assume that we have groups and on each group from we have individuals on each group we can define the following formulas of variation:  

And we have this property  

The degrees of freedom for the numerator on this case is given by where k =6 represent the number of groups.

The degrees of freedom for the denominator on this case is given by .

And the total degrees of freedom would be

On this case the correct answer would be 5 degrees of freedom for the numerator and 119 degrees of freedom for the denominator.  

C. 5 numerator and 114 denominator degrees of freedom

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.