Question

Difficulty: HardIdentifying Independent, Dependent, and Controlled Variables

A team of biochemists investigated the activity of the enzyme *lactase* under varying pH conditions. Four test tubes were prepared, each containing 5.0 mL5.0\text{ mL} of a 2%2\% lactose substrate solution and 1.0 mL1.0\text{ mL} of standardized lactase solution. Buffer solutions were added to adjust the pH in the test tubes to 3.0, 5.0, 7.0, and 9.0, respectively. All test tubes were placed in a water bath maintained at a constant temperature of 37.0C37.0^\circ\text{C} for 15 minutes. The final concentration of glucose produced (measured in mg/dL\text{mg/dL}) was determined for each test tube to quantify enzymatic activity.

Match each experimental component to its correct variable classification.

  • The pH level of the buffer solution (3.0, 5.0, 7.0, or 9.0)Independent Variable
  • The final concentration of glucose produced after 15 minutesDependent Variable
  • The volume of lactose solution (5.0 mL5.0\text{ mL}) and water bath temperature (37.0C37.0^\circ\text{C})Controlled Variable

Answer

The pH level corresponds to the Independent Variable; the glucose concentration corresponds to the Dependent Variable; and the solution volume alongside incubation temperature correspond to the Controlled Variables.
In experimental design, the independent variable is the condition deliberately manipulated by the researcher (the pH levels). The dependent variable is the outcome being measured to assess the effect of that manipulation (glucose concentration produced). Controlled variables are the extraneous factors held constant across all trials (such as substrate volume and incubation temperature) to prevent confounding effects.

Step-by-Step Solution

1
Identify the factor intentionally altered or manipulated by the researchers across treatment groups.
The researchers explicitly change the pH level (3.0, 5.0, 7.0, and 9.0) using buffer solutions.
The intentionally varied factor is the independent variable.
2
Identify the response parameter being measured to evaluate the effect of the manipulated factor.
The final concentration of glucose produced (mg/dL\text{mg/dL}) changes in response to enzymatic activity and is measured at the end of the trial.
The measured outcome parameter is the dependent variable.
3
Identify parameters held constant throughout all experimental setups.
The volume of lactose substrate (5.0 mL5.0\text{ mL}) and the temperature (37.0C37.0^\circ\text{C}) are held constant across all test tubes.
Factors kept identical across all test groups to ensure a fair test are controlled variables.

Key Concept

Experimental design variable classification
Estimated Time:1m 50s
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