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 E Click the icon to view the reaction time data table 160 100 150 Right Hnd What are the hypotheses for this test? Let be the V of the right and left hand reaction fimes. Reaction time data table H 70 What is the test statistic? Right Hand 102 Left Hand 1= (Round to three decimal places as needed.) 111 115 133 Identily the critical value(s). Select the correct choice below and fill the answer box within your choice (Round to three decimal places as needed) 140 149 187 194 OA. The critical values are t= 207 190 O B. The critical value is t= What is the condusion? Print Done There enough evidence to warrant rejection of the claim that there is V between the reaction times of the right and left hands

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
8
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 it is caught by the subject. Results from five of the students are included in the graph to the right. A 0.05 significance level is used to test the claim that there is no difference between the reaction times of the right and left hands.

**Hypotheses:**

Let \( \mu_d \) be the mean difference of the right and left hand reaction times.  
- \( H_0: \mu_d = 0 \)  
- \( H_1: \mu_d \neq 0 \)  

**Test statistic:**

Calculate \( t = \) (Round to three decimal places as needed.)

**Identify the critical value(s):** Select the correct choice and fill in the answer box.
- \( A. \) The critical values are \( t = \) (Round to three decimal places.)
- \( B. \) The critical value is \( t = \) (Round to three decimal places.)

**Conclusion:**

There is [enough/not enough] evidence to warrant rejection of the claim that there is [no/a] difference between the reaction times of the right and left hands.

**Reaction Time Data Table:**

| Right Hand | Left Hand |
|------------|-----------|
| 102        | 111       |
| 115        | 133       |
| 140        | 149       |
| 187        | 194       |
| 190        | 207       |

**Graph Explanation:**

- The graph plots reaction times for the right hand on the x-axis and the left hand on the y-axis.
- The data points for each of the five students can be observed visually along the chart, showing the correlation between right and left hand reaction times. Each axis is scaled from 100 to 220.
Transcribed Image Text: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 it is caught by the subject. Results from five of the students are included in the graph to the right. A 0.05 significance level is used to test the claim that there is no difference between the reaction times of the right and left hands. **Hypotheses:** Let \( \mu_d \) be the mean difference of the right and left hand reaction times. - \( H_0: \mu_d = 0 \) - \( H_1: \mu_d \neq 0 \) **Test statistic:** Calculate \( t = \) (Round to three decimal places as needed.) **Identify the critical value(s):** Select the correct choice and fill in the answer box. - \( A. \) The critical values are \( t = \) (Round to three decimal places.) - \( B. \) The critical value is \( t = \) (Round to three decimal places.) **Conclusion:** There is [enough/not enough] evidence to warrant rejection of the claim that there is [no/a] difference between the reaction times of the right and left hands. **Reaction Time Data Table:** | Right Hand | Left Hand | |------------|-----------| | 102 | 111 | | 115 | 133 | | 140 | 149 | | 187 | 194 | | 190 | 207 | **Graph Explanation:** - The graph plots reaction times for the right hand on the x-axis and the left hand on the y-axis. - The data points for each of the five students can be observed visually along the chart, showing the correlation between right and left hand reaction times. Each axis is scaled from 100 to 220.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman