Several students were tested for reaction times (in thousandths of a second) using their right and left hands. (Each value is the elapsed time between the release of a strip of paper and the instant that it is caught by the subject.) Results from five of the students are included in the graph to the right. Use a 0.05 significance level to test the claim that there is no difference between the reaction times of the right and left hands. 240- A Click the icon to view the reaction time data table -X 190 Reaction time data table 100 150 200 Right Hand Right Hand Left Hand 125 149 What are the hypotheses for this test? 115 144 159 186 Let u. be the V of the right and left hand reaction times 189 221 Ho: Pa 195 210 H: Hd mean of the differences difference between the means Print Done

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### Reaction Time Experiment Analysis

**Experiment Overview:**
Several students were tested for reaction times (in thousandths of a second) using their right and left hands. Each value represents the elapsed time between the release of a strip of paper and the instant it is caught by the subject. Results from five students are shown and plotted on a graph. The objective is to test the claim that there is no significant difference between the reaction times of the right and left hands using a 0.05 significance level.

**Hypotheses for the Test:**

- Let \( \mu_d \) be the mean of the differences between right and left hand reaction times.

- Null Hypothesis (\( H_0 \)): \( \mu_d = 0 \)
  
- Alternative Hypothesis (\( H_1 \)): \( \mu_d \neq 0 \)

**Data Collection:**
A table displaying reaction times for both hands is presented:

| Right Hand | Left Hand |
|------------|-----------|
| 125        | 149       |
| 115        | 144       |
| 159        | 186       |
| 169        | 221       |
| 195        | 210       |

**Graph Explanation:**
To the right, a scatter plot graphing reaction times is displayed. The x-axis represents right-hand reaction times, and the y-axis indicates left-hand reaction times. Each point on the graph corresponds to a student's reaction time pair from the table. The distribution of points can help visualize any trends or differences in reaction times between hands.

**Interface Options:**
- Options to "Print" or mark as "Done" are provided for completing the analysis.

This setup allows for statistical testing to determine if the difference in reaction times between the dominant and non-dominant hand is statistically significant.
Transcribed Image Text:### Reaction Time Experiment Analysis **Experiment Overview:** Several students were tested for reaction times (in thousandths of a second) using their right and left hands. Each value represents the elapsed time between the release of a strip of paper and the instant it is caught by the subject. Results from five students are shown and plotted on a graph. The objective is to test the claim that there is no significant difference between the reaction times of the right and left hands using a 0.05 significance level. **Hypotheses for the Test:** - Let \( \mu_d \) be the mean of the differences between right and left hand reaction times. - Null Hypothesis (\( H_0 \)): \( \mu_d = 0 \) - Alternative Hypothesis (\( H_1 \)): \( \mu_d \neq 0 \) **Data Collection:** A table displaying reaction times for both hands is presented: | Right Hand | Left Hand | |------------|-----------| | 125 | 149 | | 115 | 144 | | 159 | 186 | | 169 | 221 | | 195 | 210 | **Graph Explanation:** To the right, a scatter plot graphing reaction times is displayed. The x-axis represents right-hand reaction times, and the y-axis indicates left-hand reaction times. Each point on the graph corresponds to a student's reaction time pair from the table. The distribution of points can help visualize any trends or differences in reaction times between hands. **Interface Options:** - Options to "Print" or mark as "Done" are provided for completing the analysis. This setup allows for statistical testing to determine if the difference in reaction times between the dominant and non-dominant hand is statistically significant.
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