A school psychologist is interested in determining if children with attention deficit hyperactivity disorder (ADHD) learn better if English literature is read to them rather than having them read the material alone by themselves. A random sample of 10 sixth graders with ADHD is selected and divided into two groups of n=9. One of the groups has a story read to them (Listening Group) and the other reads the story alone by themselves (Reading Group). A test on the story is given after each group has finished reading or hearing the story. The following scores were obtained with 20 being a perfect score.What is the SS and S values? ### Two-sample t-test, independent groups#### Reading Group Data:- 10- 10- 7- 12- 8- 8- 9- 11#### Listening Group Data:- 15- 12- 13- 11- 10- 9- 11- 10- 11### Summary Statistics:| Statistic | Value ||----------------|-----------------|| Count (n) | - || Mean | - || DEVSQ(SS) | - || STDEV.S | - || df (degrees of freedom) | - || S(M1-M2) | - || alpha | - || t_crit | - || t_obs | - || Cohen's d | - || r² | - |### Decision:- **Reject H₀**- **Fail to reject H₀**(Note: Blank values indicate that calculation details are missing from the provided data. Fill in with appropriate computations as needed.)### Explanation:This table represents a comparison of two independent groups, using a two-sample t-test to determine if there is a significant difference between their means. The two groups being compared are the "Reading Group" and the "Listening Group."The "Reading Group" has eight observations, while the "Listening Group" has nine observations. Each group's data points are listed.Beneath these data points, there are labels for various statistical measures including count, mean, deviation sums of squares (DEVSQ/SS), standard deviation (STDEV.S), degrees of freedom (df), the standard error of the difference between means (S(M1-M2)), alpha level, critical t-value (t_crit), observed t-value (t_obs), effect size (Cohen's d), and coefficient of determination (r²).Finally, the decision box allows for determining whether to "Reject H₀" (null hypothesis) or "Fail to reject H₀" based on the test results. The specific decision would be based on the computed t_obs in comparison to t_crit.### Educational Purpose:The goal of this data is to provide an example of how to conduct and interpret a two-sample t-test for comparing the means of

Given information: A random sample of two groups of size n = 9 is considered. The data yielded from…

Answered: Two-sample t-test, independent groups…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A school psychologist is interested in determining if children with attention deficit hyperactivity disorder (ADHD) learn better if English literature is read to them rather than having them read the material alone by themselves. A random sample of 10 sixth graders with ADHD is selected and divided into two groups of n=9. One of the groups has a story read to them (Listening Group) and the other reads the story alone by themselves (Reading Group). A test on the story is given after each group has finished reading or hearing the story. The following scores were obtained with 20 being a perfect score. What is the SS and S values?

### Two-sample t-test, independent groups

#### Reading Group Data:
- 10
- 10
- 7
- 12
- 8
- 8
- 9
- 11

#### Listening Group Data:
- 15
- 12
- 13
- 11
- 10
- 9
- 11
- 10
- 11

### Summary Statistics:
| Statistic | Value |
|----------------|-----------------|
| Count (n) | - |
| Mean | - |
| DEVSQ(SS) | - |
| STDEV.S | - |
| df (degrees of freedom) | - |
| S(M1-M2) | - |
| alpha | - |
| t_crit | - |
| t_obs | - |
| Cohen's d | - |
| r² | - |

### Decision:
- **Reject H₀**
- **Fail to reject H₀**

(Note: Blank values indicate that calculation details are missing from the provided data. Fill in with appropriate computations as needed.)

### Explanation:
This table represents a comparison of two independent groups, using a two-sample t-test to determine if there is a significant difference between their means. The two groups being compared are the "Reading Group" and the "Listening Group."

The "Reading Group" has eight observations, while the "Listening Group" has nine observations. Each group's data points are listed.

Beneath these data points, there are labels for various statistical measures including count, mean, deviation sums of squares (DEVSQ/SS), standard deviation (STDEV.S), degrees of freedom (df), the standard error of the difference between means (S(M1-M2)), alpha level, critical t-value (t_crit), observed t-value (t_obs), effect size (Cohen's d), and coefficient of determination (r²).

Finally, the decision box allows for determining whether to "Reject H₀" (null hypothesis) or "Fail to reject H₀" based on the test results. The specific decision would be based on the computed t_obs in comparison to t_crit.

### Educational Purpose:
The goal of this data is to provide an example of how to conduct and interpret a two-sample t-test for comparing the means of

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