Question
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Assessment 2
47
GO ON
26. Biologists measured the lengths of flounder in random samples from two different coastal regions.
Both regions have many similar characteristics. But, Region A contains a significant number of the
flounders’ natural enemies, while Region B does not. The data is presented in the histograms.
N
u
m
b
e
r
o
f
F
l
o
u
n
d
e
r
Length (inches)
6
5
4
3
2
1
0
Region A
15–19 20–24
0–4 5–9 10–14
25–30
N
u
m
b
e
r
o
f
F
l
o
u
n
d
e
r
6
5
4
3
2
1
0
Region B
Length (inches)
15–19 20–24
0–4 5–9 10–14
25–30
Based on the data in the histograms, which inferences are valid?
Select all that apply.
햠 There is more variation in the lengths of flounder from Region A than in the lengths of flounder
from Region B.
햡 The range of lengths of flounder from Region B is greater than the range of lengths of flounder
from Region A.
햢 Flounder from Region B tend to be shorter than flounder from Region A.
햣 A random flounder from Region B will always be longer than a random flounder from Region A.
햤 The flounder in Region A are more similar in length than those in Region B
Assessment 2
47
GO ON
26. Biologists measured the lengths of flounder in random samples from two different coastal regions.
Both regions have many similar characteristics. But, Region A contains a significant number of the
flounders’ natural enemies, while Region B does not. The data is presented in the histograms.
N
u
m
b
e
r
o
f
F
l
o
u
n
d
e
r
Length (inches)
6
5
4
3
2
1
0
Region A
15–19 20–24
0–4 5–9 10–14
25–30
N
u
m
b
e
r
o
f
F
l
o
u
n
d
e
r
6
5
4
3
2
1
0
Region B
Length (inches)
15–19 20–24
0–4 5–9 10–14
25–30
Based on the data in the histograms, which inferences are valid?
Select all that apply.
햠 There is more variation in the lengths of flounder from Region A than in the lengths of flounder
from Region B.
햡 The range of lengths of flounder from Region B is greater than the range of lengths of flounder
from Region A.
햢 Flounder from Region B tend to be shorter than flounder from Region A.
햣 A random flounder from Region B will always be longer than a random flounder from Region A.
햤 The flounder in Region A are more similar in length than those in Region B
Answers
GPT-4o mini
To analyze the data presented in the histograms and determine which inferences are valid, we should assess each statement based on the characteristics of flounder lengths in regions A and B.
1. **There is more variation in the lengths of flounder from Region A than in the lengths of flounder from Region B.**
- This statement is likely valid if Region A shows a wider spread or range of lengths compared to Region B. We would consider the spread of the histogram sections for flounder lengths in both regions. If Region A has a more even and broader distribution, then this statement could be validated.
2. **The range of lengths of flounder from Region B is greater than the range of lengths of flounder from Region A.**
- This statement would be valid if the minimum and maximum lengths in Region B exceed those in Region A. Given typically if Region A contains natural enemies, the lengths may be constrained. If we observe that Region B had longer lengths overall than Region A, then this inference is likely true.
3. **Flounder from Region B tend to be shorter than flounder from Region A.**
- This statement is valid if the majority of the lengths displayed for Region B are located in a lower range than those in Region A. If the histogram for Region A shows more flounders in the longer lengths section than Region B, then this inference is accurate.
4. **A random flounder from Region B will always be longer than a random flounder from Region A.**
- This statement is not valid, as it has an absolute term "always." It is unrealistic as there can always be exceptions in random sampling. The data would need to be examined for overlap in lengths, indicating this statement cannot be definitively accepted.
5. **The flounder in Region A are more similar in length than those in Region B.**
- This inference would be valid if Region A’s histogram shows that most lengths cluster closely together while Region B exhibits a wider spread of lengths. If Region A has a higher peak or narrower base in its histogram compared to Region B, this could validate the inference.
Based on typical assessments and the interpretations of data you may find in histograms and given the parameters, the likely valid inferences could be:
- There is more variation in the lengths of flounder from Region A than in the lengths of flounder from Region B.
- The range of lengths of flounder from Region B is greater than the range of lengths of flounder from Region A.
- Flounder from Region B tend to be shorter than flounder from Region A.
- The flounder in Region A are more similar in length than those in Region B.
These statements would need to be confirmed with the actual data values represented in the histograms for absolute validity.
1. **There is more variation in the lengths of flounder from Region A than in the lengths of flounder from Region B.**
- This statement is likely valid if Region A shows a wider spread or range of lengths compared to Region B. We would consider the spread of the histogram sections for flounder lengths in both regions. If Region A has a more even and broader distribution, then this statement could be validated.
2. **The range of lengths of flounder from Region B is greater than the range of lengths of flounder from Region A.**
- This statement would be valid if the minimum and maximum lengths in Region B exceed those in Region A. Given typically if Region A contains natural enemies, the lengths may be constrained. If we observe that Region B had longer lengths overall than Region A, then this inference is likely true.
3. **Flounder from Region B tend to be shorter than flounder from Region A.**
- This statement is valid if the majority of the lengths displayed for Region B are located in a lower range than those in Region A. If the histogram for Region A shows more flounders in the longer lengths section than Region B, then this inference is accurate.
4. **A random flounder from Region B will always be longer than a random flounder from Region A.**
- This statement is not valid, as it has an absolute term "always." It is unrealistic as there can always be exceptions in random sampling. The data would need to be examined for overlap in lengths, indicating this statement cannot be definitively accepted.
5. **The flounder in Region A are more similar in length than those in Region B.**
- This inference would be valid if Region A’s histogram shows that most lengths cluster closely together while Region B exhibits a wider spread of lengths. If Region A has a higher peak or narrower base in its histogram compared to Region B, this could validate the inference.
Based on typical assessments and the interpretations of data you may find in histograms and given the parameters, the likely valid inferences could be:
- There is more variation in the lengths of flounder from Region A than in the lengths of flounder from Region B.
- The range of lengths of flounder from Region B is greater than the range of lengths of flounder from Region A.
- Flounder from Region B tend to be shorter than flounder from Region A.
- The flounder in Region A are more similar in length than those in Region B.
These statements would need to be confirmed with the actual data values represented in the histograms for absolute validity.