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02 Feb 2021, 07:30
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Supports: \(d_{I} = 6, t_{I} = 8\)
Undermines: \(d_{G} = 4, t_{G} = 2\)
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11%
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A biologist measured the areas, in square centimeters, of the dorsal fins and tail fins of 4 adult specimens, A through D, of a particular species of fish. For each specimen X, the area of the dorsal fin is given as \(d_{X}\) and the area of the tail fin is given as \(t_{X}:\)
\(d_{A} = 4, t_{A} = 5\)
\(d_{B} = 2, t_{B} = 3\)
\(d_{C} = 3, t_{C} = 4\)
\(d_{D} = 5, t_{D} = 7\)
On the basis of these specimens, the biologist hypothesized that areas of the dorsal and tail fins of adult fish of this species are positively correlated.
Among the 5 hypothetical specimens, E through I, select for Supports the specimen whose dorsal and tail fin areas provide the strongest additional evidence for the hypothesis, and select for Undermines the specimen whose dorsal and tail fin areas provide the strongest evidence against the hypothesis, based on the information provided. Make two selections, one in each column.
\(d_{A} = 4, t_{A} = 5\)
\(d_{B} = 2, t_{B} = 3\)
\(d_{C} = 3, t_{C} = 4\)
\(d_{D} = 5, t_{D} = 7\)
On the basis of these specimens, the biologist hypothesized that areas of the dorsal and tail fins of adult fish of this species are positively correlated.
Among the 5 hypothetical specimens, E through I, select for Supports the specimen whose dorsal and tail fin areas provide the strongest additional evidence for the hypothesis, and select for Undermines the specimen whose dorsal and tail fin areas provide the strongest evidence against the hypothesis, based on the information provided. Make two selections, one in each column.
| Supports | Undermines | --------------------------- |
| \(d_{E} = 2, t_{E} = 2\) | ||
| \(d_{F} = 3, t_{F} = 3\) | ||
| \(d_{G} = 4, t_{G} = 2\) | ||
| \(d_{H} = 5, t_{H} = 5\) | ||
| \(d_{I} = 6, t_{I} = 8\) |
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Official Answer
Supports: \(d_{I} = 6, t_{I} = 8\)
Undermines: \(d_{G} = 4, t_{G} = 2\)
rocky620
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04 Feb 2021, 06:25
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Among the 5 hypothetical specimens, E through I, select for Supports the specimen whose dorsal and tail fin areas provide the strongest additional evidence for the hypothesis, and select for Undermines the specimen whose dorsal and tail fin areas provide the strongest evidence against the hypothesis, based on the information provided. Make two selections, one in each column.
To support the hypothesis we need to see that the values of tx is in correspondence with the values of dx (as per the data provided). (Kindly refer to the image for better understanding)
dE=2,tE=2.....As per our reasoning, it neither supports nor undermined the hypothesis.
dF=3,tF=3.....As per our reasoning, it neither supports nor undermined the hypothesis.
dG=4,tG=2....As per our reasoning, it will undermine the hypothesis. Since the value of Tx is lesser than 4 (refer the data of specimen A and compare it with the data for specimens B & C)
dH=5,tH=5.....As per our reasoning, it neither supports nor undermined the hypothesis.
dI=6,tI=8.....As per our reasoning, it will support the hypothesis. As the value of Dx is increasing and so is the value of Tx. there can be multiple scenarios which will lead to this data point. For example:
de=4; te=6
df=4; tf=7
dg=5; tg=7
dh=6; th=7
di=6; ti=8
To support the hypothesis we need to see that the values of tx is in correspondence with the values of dx (as per the data provided). (Kindly refer to the image for better understanding)
dE=2,tE=2.....As per our reasoning, it neither supports nor undermined the hypothesis.
dF=3,tF=3.....As per our reasoning, it neither supports nor undermined the hypothesis.
dG=4,tG=2....As per our reasoning, it will undermine the hypothesis. Since the value of Tx is lesser than 4 (refer the data of specimen A and compare it with the data for specimens B & C)
dH=5,tH=5.....As per our reasoning, it neither supports nor undermined the hypothesis.
dI=6,tI=8.....As per our reasoning, it will support the hypothesis. As the value of Dx is increasing and so is the value of Tx. there can be multiple scenarios which will lead to this data point. For example:
de=4; te=6
df=4; tf=7
dg=5; tg=7
dh=6; th=7
di=6; ti=8
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