krusty was told that a certain itching powder was the newest best thing on the market; it even claims to cause 50% longer lasting itches. interested in this product, he buys the itching powder and compares it to his usual product. one test subject (a) is sprinkled with the original itching powder, and another test subject (b) was sprinkled with the experimental itching powder. subject a reported having itches for 30 minutes. subject b reported to have itches for 45 minutes.

16. identify the-
17. independent variable
18. dependent variable
19. explain whether the data supports the advertisements claims about its product.
20. describe how lisa would perform this experiment. identify the control group and the independent and...

lisa is working on a science project. her task is to answer the question: \does rogooti (which is a...\

Question

krusty was told that a certain itching powder was the newest best thing on the market; it even claims to cause 50% longer lasting itches. interested in this product, he buys the itching powder and compares it to his usual product. one test subject (a) is sprinkled with the original itching powder, and another test subject (b) was sprinkled with the experimental itching powder. subject a reported having itches for 30 minutes. subject b reported to have itches for 45 minutes.

16. identify the-
17. independent variable
18. dependent variable
19. explain whether the data supports the advertisements claims about its product.
20. describe how lisa would perform this experiment. identify the control group and the independent and...

lisa is working on a science project. her task is to answer the question: \does rogooti (which is a...\

Accepted Answer

### Question 16: Identify the Control Group
# Brief Explanations:
In an experiment, the control group is the group that does not receive the experimental treatment and is used for comparison. Here, Subject B was sprinkled with the original itching powder (not the new experimental one), so it serves as the control group to compare with Subject A (who got the experimental powder) and assess the effect of the new powder.
# Answer:
The control group is Subject B (the one sprinkled with the original itching powder).

### Question 17: Independent Variable
# Brief Explanations:
The independent variable is the factor that is manipulated in an experiment. Here, the type of itching powder (original vs. experimental) is what's changed between the two subjects. So the independent variable is the type of itching powder (or specifically, using the experimental itching powder vs. the original).
# Answer:
The independent variable is the type of itching powder (experimental itching powder vs. original itching powder, or more precisely, the use of the experimental itching powder as the manipulated factor).

### Question 18: Dependent Variable
# Brief Explanations:
The dependent variable is the outcome that is measured and depends on the independent variable. In this experiment, the duration of itching (30 minutes for Subject A, 45 minutes for Subject B? Wait, no—wait, Subject A was sprinkled with experimental, Subject B with original? Wait, the text says: "One test subject (A) is sprinkled with the original itching powder, and another test subject (B) was sprinkled with the Experimental itching powder. Subject A reported having itches for 30 minutes. Subject B reported to have itches for 45 minutes." Wait, maybe I misread earlier. Wait, let's re - read: "Interested in this product, he buys the itching powder and compares it to his usual product. One test subject (A) is sprinkled with the original itching powder, and another test subject (B) was sprinkled with the Experimental itching powder. Subject A reported having itches for 30 minutes. Subject B reported to have itches for 45 minutes." Wait, the product claims to cause 50% longer lasting itches. Wait, original is usual, experimental is new. So the dependent variable is the duration of itching (how long the itching lasts), as it depends on which powder (independent variable) was used.
# Answer:
The dependent variable is the duration of itching (the length of time the subjects experienced itching).

### Question 19: Explain whether the data supports the advertisement's claims about its product
# Brief Explanations:
1. First, calculate the percentage increase in itching duration. The original (Subject A) had itching for 30 minutes, the experimental (Subject B) for 45 minutes.
2. The formula for percentage increase is $\frac{	ext{New Value}-	ext{Old Value}}{	ext{Old Value}}	imes100\%$.
3. Substitute the values: $\frac{45 - 30}{30}	imes100\%=\frac{15}{30}	imes100\% = 50\%$.
4. The advertisement claimed the new powder causes 50% longer - lasting itches. Since the increase from 30 to 45 minutes is 50%, the data supports the advertisement's claim.
# Explanation:
## Step 1: Identify the durations
Old duration (original powder, Subject A): $30$ minutes.
New duration (experimental powder, Subject B): $45$ minutes.
## Step 2: Calculate the percentage increase
Use the formula for percentage increase: $	ext{Percentage Increase}=\frac{	ext{New Duration}-	ext{Old Duration}}{	ext{Old Duration}}	imes100\%$
Substitute the values: $\frac{45 - 30}{30}	imes100\%=\frac{15}{30}	imes100\%$
## Step 3: Simplify the calculation
$\frac{15}{30}=0.5$, so $0.5	imes100\% = 50\%$.
## Step 4: Compare with the advertisement's claim
The advertisement claimed a 50% longer - lasting itch. The calculated percentage increase is 50%, so the data supports the claim.
# Answer:
The data supports the advertisement's claims. The original itching duration was 30 minutes, and the experimental was 45 minutes. The percentage increase is $\frac{45 - 30}{30}	imes100\% = 50\%$, which matches the advertisement's claim of 50% longer - lasting itches.

### Question 20: Describe how Lisa would perform this experiment. Identify the control group and the independent and dependent variables.
# Explanation:
## Step 1: Planning the experiment
Lisa should select a larger sample of subjects (not just two) to make the results more reliable. She should randomly assign subjects to two groups: one group (experimental group) will be sprinkled with the new (experimental) itching powder, and the other group (control group) will be sprinkled with the original (usual) itching powder. All other conditions (like the amount of powder, the area of application, the environment, etc.) should be kept constant for both groups. Then, she should measure the duration of itching for each subject in both groups.
## Step 2: Identify the control group
The control group is the group that receives the original itching powder (the usual product), as it is used for comparison to see the effect of the new powder.
## Step 3: Identify the independent variable
The independent variable is the type of itching powder (new experimental powder vs. original powder), as this is the factor that Lisa manipulates.
## Step 4: Identify the dependent variable
The dependent variable is the duration of itching, as it is the outcome that depends on the type of powder used and is what Lisa measures.
# Answer:
- **Experiment Performance**: Lisa should select a representative sample of subjects. Randomly divide them into two groups. Sprinkle the experimental itching powder on one group (experimental group) and the original itching powder on the other group (control group). Keep all other factors (e.g., amount of powder, application area, environment) constant. Record the duration of itching for each subject.
- **Control Group**: The group sprinkled with the original itching powder.
- **Independent Variable**: The type of itching powder (experimental vs. original).
- **Dependent Variable**: The duration of itching.

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Explanation:

Question 16: Identify the Control Group

Answer:

Question 17: Independent Variable