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- E Click the icon to view the reaction time data table. 190- Reaction time data table 150 Right Hand 200 What are the hypotheses for this test? Right Hand Left Hand Let Hg be the mean of the differences of the right and left hand reaction times. 125 149 115 144 159 186 0- PH:H H: H 0 221 189 195 210 What is the test statistic? t- -8.732 (Round to three decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill the answer box within your choice. (Round to three decimal places as needed.) Print Done O A The critical values are t OB. The critical value is t
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- E Click the icon to view the reaction time data table. 190- Reaction time data table 150 Right Hand 200 What are the hypotheses for this test? Right Hand Left Hand Let Hg be the mean of the differences of the right and left hand reaction times. 125 149 115 144 159 186 0- PH:H H: H 0 221 189 195 210 What is the test statistic? t- -8.732 (Round to three decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill the answer box within your choice. (Round to three decimal places as needed.) Print Done O A The critical values are t OB. The critical value is t
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Reaction Time Experiment Analysis**
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 analyzed to test the claim at a 0.05 significance level that there is no difference between the reaction times of the right and left hands.
**Hypotheses:**
Let \( \mu_D \) be the mean of the differences between the right and left hand reaction times.
- Null Hypothesis (\( H_0 \)): \( \mu_D = 0 \)
- Alternative Hypothesis (\( H_1 \)): \( \mu_D \neq 0 \)
**Test Statistic:**
\[ t = 8.732 \]
(Rounded to three decimal places as needed.)
**Critical Values:**
Select the correct choice and fill in the answer box within your choice.
- (A) The critical values are \( t = \_\_\_ \)
- (B) The critical value is \( t = \_\_\_ \)
**Reaction Time Data Table:**
| Right Hand | Left Hand |
|------------|-----------|
| 125 | 149 |
| 115 | 144 |
| 159 | 186 |
| 189 | 221 |
| 195 | 210 |
**Graph Explanation:**
The graph to the right plots the reaction times of the left hand against the right hand for the five students. Each point represents a student's reaction time values for both hands.
- X-axis: Reaction time for the Right Hand
- Y-axis: Reaction time for the Left Hand
This visual representation allows for comparison and correlation analysis between the reaction times of the two hands.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F740a4bca-4536-466f-8fb5-22c7f56f9691%2Febc9bdff-e82f-4a1a-9be6-35f81222f357%2Ftpyi5xh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Reaction Time Experiment Analysis**
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 analyzed to test the claim at a 0.05 significance level that there is no difference between the reaction times of the right and left hands.
**Hypotheses:**
Let \( \mu_D \) be the mean of the differences between the right and left hand reaction times.
- Null Hypothesis (\( H_0 \)): \( \mu_D = 0 \)
- Alternative Hypothesis (\( H_1 \)): \( \mu_D \neq 0 \)
**Test Statistic:**
\[ t = 8.732 \]
(Rounded to three decimal places as needed.)
**Critical Values:**
Select the correct choice and fill in the answer box within your choice.
- (A) The critical values are \( t = \_\_\_ \)
- (B) The critical value is \( t = \_\_\_ \)
**Reaction Time Data Table:**
| Right Hand | Left Hand |
|------------|-----------|
| 125 | 149 |
| 115 | 144 |
| 159 | 186 |
| 189 | 221 |
| 195 | 210 |
**Graph Explanation:**
The graph to the right plots the reaction times of the left hand against the right hand for the five students. Each point represents a student's reaction time values for both hands.
- X-axis: Reaction time for the Right Hand
- Y-axis: Reaction time for the Left Hand
This visual representation allows for comparison and correlation analysis between the reaction times of the two hands.
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