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. ### 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.

The data given is shown below Noncontact Athletes Contact Athletes 10 7 8 4 7 9 9 3 13…

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