MATLAB: An Introduction with Applications
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Author: Amos Gilat
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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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