Astudent conducts a research project to test the effect of an independent variable with two conditions. the value for cohen's d for her data is 0.25. based on this, she concludes that the independent variable had effect on the dependent variable.

The size of the effect of the independent variables on dependent variable is medium.

Step-by-step explanation:

The theory developed by Cohen suggests that a value of coefficient d less than or equal to 0.2 is evidence of a small effect size. A coefficient value d greater than 0.2 and less than or equal to 0.5 is evidence of a medium effect size and a coefficient value d greater than 0.5 is evidence of a large effect size.

Therefore, a value of d = 0.25 allows us to state that the size of the effect of the independent variables on dependent variable is medium.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.