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. control group 17. independent variable 18. dependent variable 19. explain whether the data supports the advertisements claims about its product.

Question

Accepted Answer

### 16. Control Group
# Brief Explanations:
The control group in an experiment is the group that is not exposed to the independent variable and is used for comparison. In this experiment, Subject A is sprinkled with the original itching powder (the usual product), so Subject A (and the original itching powder) serves as the control group to compare with the experimental group (Subject B with the new powder).
# Answer:
Subject A (sprinkled with the original itching powder) is the control group.

### 17. Independent Variable
# Brief Explanations:
The independent variable is the factor that is manipulated or changed in an experiment. Here, the type of itching powder (original vs. experimental) is what is being changed to see its effect on the duration of itching.
# Answer:
The type of itching powder (original or experimental) is the independent variable.

### 18. Dependent Variable
# Brief Explanations:
The dependent variable is the factor that is measured or observed and is expected to change in response to the independent variable. In this case, the duration of the itch (in minutes) is what is being measured to see the effect of the itching powder.
# Answer:
The duration of the itch (in minutes) is the dependent variable.

### 19. Explain whether the data supports the advertisements claims about its product.
# Explanation:
## Step1: Calculate 50% of Subject A's itch duration
To find 50% of 30 minutes, we use the formula $50\% 	imes 30=\frac{50}{100}	imes30 = 15$ minutes.
## Step2: Find the expected duration for the experimental powder
If the experimental powder causes 50% longer itches, the expected duration for Subject B would be Subject A's duration plus 50% of it. So, $30 + 15=45$ minutes.
## Step3: Compare expected and actual duration
Subject B reported itches for 45 minutes, which matches the expected duration calculated from the advertisement's claim (50% longer than 30 minutes).
# Answer:
The data supports the advertisement's claim. Since 50% of 30 minutes is 15 minutes, a 50% longer itch would be $30 + 15 = 45$ minutes, and Subject B's itch duration was 45 minutes, which matches the expected duration from the claim.

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QUESTION IMAGE

Question

Explanation:

16. Control Group

Answer:

17. Independent Variable