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Sagot :
Let's thoroughly address each aspect of the question step by step.
### Patrick's Hypothesis
Patrick hypothesized that fish that eat food exposed to microwaves will become smarter and would be able to swim through a maze faster.
### Control Group
The control group consists of the fish that were given regular food and not the microwaved food. Based on the given data, these fish are:
[tex]\[ \text{Fish 1 to 10 in the "Regular Food Group" table} \][/tex]
### Independent Variable
The independent variable in this experiment is the type of food given to the fish. It can be categorized as either microwaved food or regular food.
### Dependent Variable
The dependent variable is the swim time through the maze, which measures the time it takes for each fish to complete the maze.
### Analysis of Special Food Group
Let's look at the times recorded for the fish before and after feeding them microwaved food:
[tex]\[ \begin{array}{|c|c|c|} \hline \text{Fish} & \text{Before (minutes)} & \text{After (minutes)} \\ \hline 1 & 1.06 & 1.00 \\ 2 & 1.54 & 1.20 \\ 3 & 2.04 & 1.57 \\ 4 & 2.15 & 2.20 \\ 5 & 1.27 & 1.20 \\ 6 & 1.45 & 1.40 \\ 7 & 1.00 & 1.15 \\ 8 & 1.28 & 1.28 \\ 9 & 1.09 & 1.20 \\ 10 & 2.00 & 1.43 \\ \hline \end{array} \][/tex]
The average swim time before feeding with special food is approximately 1.488 minutes. After feeding with special food, the average swim time is approximately 1.363 minutes.
### Analysis of Regular Food Group
For the regular food group, we have the following "before" times:
[tex]\[ \begin{array}{|c|c|c|} \hline \text{Fish} & \text{Before (minutes)} & \text{After (minutes)} \\ \hline 1 & 1.00 & \text{Incomplete data}\\ 2 & 0.108 & \text{Incomplete data} \\ 3 & 1.00 & \text{Incomplete data} \\ 4 & 1.30 & \text{Incomplete data} \\ 5 & 1.28 & \text{Incomplete data} \\ 6 & 2.09 & \text{Incomplete data} \\ 7 & 1.23 & \text{Incomplete data} \\ 8 & 1.00 & \text{Incomplete data} \\ 9 & 16.500 & \text{Incomplete data} \\ 10 & 0.818 & \text{Incomplete data} \\ \hline \end{array} \][/tex]
The average swim time before feeding with regular food is approximately 2.633 minutes. The "after" times are not available for analysis, so we cannot draw a full comparison.
### Conclusion
Based on the given data, Patrick's hypothesis appears to be partially supported. Fish fed with microwaved food show a slight improvement in their swim times as the average swim time decreased from approximately 1.488 minutes to 1.363 minutes. The data for the regular food group is incomplete, and thus a full comparison cannot be made for all aspects.
### Patrick's Hypothesis
Patrick hypothesized that fish that eat food exposed to microwaves will become smarter and would be able to swim through a maze faster.
### Control Group
The control group consists of the fish that were given regular food and not the microwaved food. Based on the given data, these fish are:
[tex]\[ \text{Fish 1 to 10 in the "Regular Food Group" table} \][/tex]
### Independent Variable
The independent variable in this experiment is the type of food given to the fish. It can be categorized as either microwaved food or regular food.
### Dependent Variable
The dependent variable is the swim time through the maze, which measures the time it takes for each fish to complete the maze.
### Analysis of Special Food Group
Let's look at the times recorded for the fish before and after feeding them microwaved food:
[tex]\[ \begin{array}{|c|c|c|} \hline \text{Fish} & \text{Before (minutes)} & \text{After (minutes)} \\ \hline 1 & 1.06 & 1.00 \\ 2 & 1.54 & 1.20 \\ 3 & 2.04 & 1.57 \\ 4 & 2.15 & 2.20 \\ 5 & 1.27 & 1.20 \\ 6 & 1.45 & 1.40 \\ 7 & 1.00 & 1.15 \\ 8 & 1.28 & 1.28 \\ 9 & 1.09 & 1.20 \\ 10 & 2.00 & 1.43 \\ \hline \end{array} \][/tex]
The average swim time before feeding with special food is approximately 1.488 minutes. After feeding with special food, the average swim time is approximately 1.363 minutes.
### Analysis of Regular Food Group
For the regular food group, we have the following "before" times:
[tex]\[ \begin{array}{|c|c|c|} \hline \text{Fish} & \text{Before (minutes)} & \text{After (minutes)} \\ \hline 1 & 1.00 & \text{Incomplete data}\\ 2 & 0.108 & \text{Incomplete data} \\ 3 & 1.00 & \text{Incomplete data} \\ 4 & 1.30 & \text{Incomplete data} \\ 5 & 1.28 & \text{Incomplete data} \\ 6 & 2.09 & \text{Incomplete data} \\ 7 & 1.23 & \text{Incomplete data} \\ 8 & 1.00 & \text{Incomplete data} \\ 9 & 16.500 & \text{Incomplete data} \\ 10 & 0.818 & \text{Incomplete data} \\ \hline \end{array} \][/tex]
The average swim time before feeding with regular food is approximately 2.633 minutes. The "after" times are not available for analysis, so we cannot draw a full comparison.
### Conclusion
Based on the given data, Patrick's hypothesis appears to be partially supported. Fish fed with microwaved food show a slight improvement in their swim times as the average swim time decreased from approximately 1.488 minutes to 1.363 minutes. The data for the regular food group is incomplete, and thus a full comparison cannot be made for all aspects.
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