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

MATLAB: An Introduction with Applications
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9.3-5
### Reaction Time Experiment

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 of the students are included in the graph to the right. Use a 0.01 significance level to test the claim that there is no difference between the reaction times of the right and left hands.

#### Graph Explanation
- **Graph Title:** [No title present]
- **Axes:**
  - **X-axis (Horizontal):** Reaction time for the Right Hand (in thousandths of a second) ranging from 100 to 200.
  - **Y-axis (Vertical):** Reaction time for the Left Hand (in thousandths of a second) ranging from 120 to 220.
- **Data Points:** Five data points are plotted, showing a comparative distribution of reaction times for right and left hands.

#### Hypothesis Testing

- **Null Hypothesis (H₀):** μₐ - μᵦ = 0 _(The difference in mean reaction times between right and left hand is zero)_

- **Alternative Hypothesis (H₁):** μₐ - μᵦ ≠ 0 _(There is a difference in mean reaction times between right and left hand)_

Where μₐ and μᵦ represent the means of the right and left hand reaction times, respectively.

Click the icon to view the reaction time data table for detailed values.
Transcribed Image Text:### Reaction Time Experiment 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 of the students are included in the graph to the right. Use a 0.01 significance level to test the claim that there is no difference between the reaction times of the right and left hands. #### Graph Explanation - **Graph Title:** [No title present] - **Axes:** - **X-axis (Horizontal):** Reaction time for the Right Hand (in thousandths of a second) ranging from 100 to 200. - **Y-axis (Vertical):** Reaction time for the Left Hand (in thousandths of a second) ranging from 120 to 220. - **Data Points:** Five data points are plotted, showing a comparative distribution of reaction times for right and left hands. #### Hypothesis Testing - **Null Hypothesis (H₀):** μₐ - μᵦ = 0 _(The difference in mean reaction times between right and left hand is zero)_ - **Alternative Hypothesis (H₁):** μₐ - μᵦ ≠ 0 _(There is a difference in mean reaction times between right and left hand)_ Where μₐ and μᵦ represent the means of the right and left hand reaction times, respectively. Click the icon to view the reaction time data table for detailed values.
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