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 identify the- 16. control group 17. independent variable 18. dependent variable 19. explain whether the data supports the advertisements claims about its product. - it does

Question

Accepted Answer

### 16. 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 A is sprinkled with the original itching powder (the usual product, not the new experimental one), so Subject A (and the original powder) forms the control group.
# Answer:
Subject A (sprinkled with original itching powder)

### 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 test subjects, so the independent variable is the type of itching powder.
# Answer:
Type of itching powder (original vs. experimental)

### 18. Dependent Variable
# Brief Explanations:
The dependent variable is the factor that is measured or observed to see the effect of the independent variable. Here, the duration of the itch (how long the itching lasts) is what's being measured to see the effect of the different powders, so the dependent variable is the duration of the itch.
# Answer:
Duration of the itch (time of itching)

### 19. Explain whether the data supports the advertisements claims about its product. - It does
# Brief Explanations:
First, find the duration for the original (Subject A: 30 minutes). The advertisement claims 50% longer. Calculate 50% of 30: $ 0.5\times30 = 15 $, so 50% longer would be $ 30 + 15 = 45 $ minutes. If Subject B (experimental) has an itch duration of 45 minutes (assuming the missing part of the text says 45 minutes, as the claim is 50% longer), then the data (45 minutes for B vs. 30 minutes for A) shows the experimental powder causes a 50% longer itch (since $ \frac{45 - 30}{30}= 0.5 $ or 50%), so it supports the claim.
# Explanation:
## Step1: Find original itch duration
Subject A (control) has itch for 30 minutes.
## Step2: Calculate 50% longer than 30 minutes
50% of 30 is $ 0.5\times30 = 15 $, so 50% longer is $ 30 + 15 = 45 $ minutes.
## Step3: Compare with experimental (Subject B)
Assuming Subject B's itch duration is 45 minutes (from context of the claim), since 45 is 50% longer than 30, the data supports the claim.
# Answer:
The data supports the claim. The original powder (control) caused itching for 30 minutes. 50% longer than 30 minutes is $ 30 + 0.5\times30 = 45 $ minutes. If the experimental powder (Subject B) caused itching for 45 minutes, this matches the 50% longer claim, so the data supports it.

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QUESTION IMAGE

Question

Explanation:

16. Control Group

Answer:

17. Independent Variable