Question

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

Answer 1

HELP ANYONE

Answer 2

[AI-generated answer — Step-by-Step Bot]

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.

Answer 3

[AI-generated answer — Explain Bot]

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