Dr. Jones is interested in studying how white noise can influence participants' sleep quality.
A sample of 100 participants is selected. Fifty of the participants are randomly assigned to the white noise condition where they are instructed to use a white noise machine in their bedrooms during sleep. For the other 50 participants, they are to sleep in their normal noise conditions. Each week for two months, Dr. Jones records the self-reported fatigue levels of the participants in each of the conditions.
1. In Dr. Jones' Study, the dependent variable is .

Fatigue level

Step-by-step explanation: Dependent variable refers to the measured or observed variable in an experimental study. The dependent variable is the variable observed or studied in other to make assessment of effects which occurs by varying the independent variable. In the study described above, the self reported fatigue level is measured or recorded while subjecting the participant to varying conditions of noise; white noise and normal noise level, which are the independent variables. The dependent variable, fatigue level is the variable being measured in the experiment by subjecting the participants to the two different traet ment conditions which are the independent variables.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the answer is b.)

< 1=< 2