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 0.20 significance level to test the claim that there is no difference between the reaction times of the right and left hands. Click the icon to view the reaction time data table.

MATLAB: An Introduction with Applications
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### Reaction Time Analysis

**Experiment Description:**
Several students were tested for reaction times (measured in thousandths of a second) using their right and left hands. The time measured represents the interval between the release of a strip of paper and the moment it is caught by the subject. The data from five students is presented in the graph and table. The objective is to use a 0.20 significance level to determine if there is a difference in reaction times between the right and left hands.

**Hypotheses for the Test:**

- Let \( \mu_d \) be the difference in reaction times for the right and left hands.
- \( H_0: \mu_d = 0 \) (Null Hypothesis: No difference between reaction times)
- \( H_1: \mu_d \neq 0 \) (Alternative Hypothesis: There is a difference between reaction times)

**Reaction Time Data Table:**

| Right Hand | Left Hand |
|------------|-----------|
| 103        | 120       |
| 112        | 145       |
| 142        | 156       |
| 160        | 175       |
| 183        | 208       |

**Graph Description:**

The accompanying graph is a scatter plot representing the reaction times for the right hand on the x-axis and the left hand on the y-axis. Each point corresponds to a student's reaction times for both hands, allowing visual comparison.

The plotted points are as follows:
- (103, 120)
- (112, 145)
- (142, 156)
- (160, 175)
- (183, 208)

Both axes are labeled, with the range for the x-axis spanning from 100 to 200 ms and the y-axis from 120 to 220 ms.
Transcribed Image Text:### Reaction Time Analysis **Experiment Description:** Several students were tested for reaction times (measured in thousandths of a second) using their right and left hands. The time measured represents the interval between the release of a strip of paper and the moment it is caught by the subject. The data from five students is presented in the graph and table. The objective is to use a 0.20 significance level to determine if there is a difference in reaction times between the right and left hands. **Hypotheses for the Test:** - Let \( \mu_d \) be the difference in reaction times for the right and left hands. - \( H_0: \mu_d = 0 \) (Null Hypothesis: No difference between reaction times) - \( H_1: \mu_d \neq 0 \) (Alternative Hypothesis: There is a difference between reaction times) **Reaction Time Data Table:** | Right Hand | Left Hand | |------------|-----------| | 103 | 120 | | 112 | 145 | | 142 | 156 | | 160 | 175 | | 183 | 208 | **Graph Description:** The accompanying graph is a scatter plot representing the reaction times for the right hand on the x-axis and the left hand on the y-axis. Each point corresponds to a student's reaction times for both hands, allowing visual comparison. The plotted points are as follows: - (103, 120) - (112, 145) - (142, 156) - (160, 175) - (183, 208) Both axes are labeled, with the range for the x-axis spanning from 100 to 200 ms and the y-axis from 120 to 220 ms.
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