llister, et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine whether exposure to d impacts during one season have an effect on cognitive performance. In the study, tests of new learning performance were significantly poorer fo contact sport athletes compared to the noncontact sport athletes. The following table presents data similar to the results obtained in the study. Noncontact Athletes Contact Athletes 10 7

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

Be sure to include r² =     

**Do: Chapter 10 End-of-Chapter Problems**

- ○ Fail to reject the null hypothesis; there is a significant difference.
- ○ Reject the null hypothesis; there is no significant difference.
- ○ Reject the null hypothesis; there is a significant difference.
- ○ Fail to reject the null hypothesis; there is no significant difference.

**Graph Explanation:**

The graph displays a t-distribution with a smooth, symmetrical bell-shaped curve that centers around zero on the x-axis. The curve is shaded in blue to denote the area of interest under the curve. The x-axis ranges from -3.0 to 3.0, and the y-axis represents the probability density.

To the left of the graph, there is a slider to adjust the "Degrees of Freedom," which is currently set at 21. Below the slider, there are three buttons showing different t-distribution curves, highlighting that the shape of the distribution can change depending on the degrees of freedom.

**Task:**

Compute the value of \( r^2 \) (percentage of variance accounted for) for these data.
Transcribed Image Text:**Do: Chapter 10 End-of-Chapter Problems** - ○ Fail to reject the null hypothesis; there is a significant difference. - ○ Reject the null hypothesis; there is no significant difference. - ○ Reject the null hypothesis; there is a significant difference. - ○ Fail to reject the null hypothesis; there is no significant difference. **Graph Explanation:** The graph displays a t-distribution with a smooth, symmetrical bell-shaped curve that centers around zero on the x-axis. The curve is shaded in blue to denote the area of interest under the curve. The x-axis ranges from -3.0 to 3.0, and the y-axis represents the probability density. To the left of the graph, there is a slider to adjust the "Degrees of Freedom," which is currently set at 21. Below the slider, there are three buttons showing different t-distribution curves, highlighting that the shape of the distribution can change depending on the degrees of freedom. **Task:** Compute the value of \( r^2 \) (percentage of variance accounted for) for these data.
### Do: Chapter 10 End-of-Chapter Problems

**Study Overview:**

McAllister, et al. (2012) conducted a study comparing varsity football and hockey players, who participate in contact sports, with athletes from noncontact sports. The aim was to determine whether exposure to head impacts during a season affects cognitive performance. The study found that tests of new learning performance were significantly poorer for contact sport athletes compared to noncontact sport athletes.

**Data Table:**

The following table presents data similar to the results obtained in the study:

| Noncontact Athletes | Contact Athletes |
|---------------------|------------------|
| 10                  | 7                |
| 8                   | 4                |
| 7                   | 9                |
| 9                   | 3                |
| 13                  | 7                |
| 7                   | 6                |
| 6                   | 10               |
| 12                  | 2                |

**Research Question:**

Are the neurological test scores significantly lower for the contact athletes than for the noncontact athletes in the control group? Use a one-tailed test with α = 0.05.

**Test Details:**

- **t-critical**: [Dropdown for input]
- **t**: [Dropdown for input]

In this exercise, users are expected to perform a statistical analysis to determine if there is a significant difference in test scores between the two groups of athletes.
Transcribed Image Text:### Do: Chapter 10 End-of-Chapter Problems **Study Overview:** McAllister, et al. (2012) conducted a study comparing varsity football and hockey players, who participate in contact sports, with athletes from noncontact sports. The aim was to determine whether exposure to head impacts during a season affects cognitive performance. The study found that tests of new learning performance were significantly poorer for contact sport athletes compared to noncontact sport athletes. **Data Table:** The following table presents data similar to the results obtained in the study: | Noncontact Athletes | Contact Athletes | |---------------------|------------------| | 10 | 7 | | 8 | 4 | | 7 | 9 | | 9 | 3 | | 13 | 7 | | 7 | 6 | | 6 | 10 | | 12 | 2 | **Research Question:** Are the neurological test scores significantly lower for the contact athletes than for the noncontact athletes in the control group? Use a one-tailed test with α = 0.05. **Test Details:** - **t-critical**: [Dropdown for input] - **t**: [Dropdown for input] In this exercise, users are expected to perform a statistical analysis to determine if there is a significant difference in test scores between the two groups of athletes.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 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