An independent-measures research study compares three treatment conditions using a sample of n = 5 in each treatment. For this study, the three sample totals are, t1 = 5, t2 = 10, and t3 = 15, and Sum of X squared= 75 for the entire set of scores. What value would be obtained for ss ?

Question 9 options:



a) 1



b) 5



c) 10



d) 15

HELP ANYONE

To find the value of SS (Sum of Squares), we can use the formula:

SS = ΣX^2 - (ΣX)^2 / n

Given that the sum of X squared (ΣX^2) is 75, and the sum of X (ΣX) is the sum of the three sample totals (t1 + t2 + t3) = 5 + 10 + 15 = 30, and n (number of scores in each treatment) is 5, we can substitute these values into the formula:

SS = 75 - (30)^2 / 5

SS = 75 - 900 / 5

SS = 75 - 180

SS = -105

Therefore, the value obtained for SS is -105.

None of the options from the given choices are correct.

To find the value of ss, we need to calculate the sum of squares. The formula for sum of squares (ss) is:

ss = Σ(X^2) - ((ΣX)^2 / N)

In this case, we are given the sum of X squared (Σ(X^2)) as 75. However, we need to calculate the sum of X (ΣX) before we can find the value of ss.

To calculate ΣX, we add up the individual sample totals:

ΣX = t1 + t2 + t3

ΣX = 5 + 10 + 15

ΣX = 30

Now that we have ΣX, we can substitute the values into the formula for ss:

ss = Σ(X^2) - ((ΣX)^2 / N)

ss = 75 - ((30)^2 / (3 * 5))

ss = 75 - (900 / 15)

ss = 75 - 60

ss = 15

Therefore, the value obtained for ss is 15.

The correct option is:

d) 15