**Study on Social Networking and Test Performance**Educators conducted a study to examine the impact of students' involvement in social networks, denoted as $ X $ (measured in hours per week), on their test scores, denoted as $ Y $ (on a 100-point scale). A sample of $ n = 20 $ students was used, assuming all conditions for the model were met. The resulting fitted line equation is:\[\hat{Y} = 70 - 2.85 \cdot X\]The standard error for the estimated slope is:\[SE[b] = 1.5\]The question posed is whether, at a significance level of $ \alpha = 0.05 $, there is sufficient evidence to claim that social networking negatively impacts students' test performance.To address this, consider the following steps:1. **Specify the critical value (or values) required in this case.**2. **Formulate the Rejection Rule.**3. **Evaluate the Test Statistic.**4. **Finally, state your decision.****Solution**[The solution would likely include steps such as calculating the test statistic using the slope and standard error, comparing it to the critical t-value at $ \alpha = 0.05 $ with $ n-2 $ degrees of freedom, and then using this comparison to either reject or fail to reject the null hypothesis.]*Note: The solution section is left incomplete as it requires detailed calculation steps that typically involve statistical tables or software outputs.*

The slope is -2.85, and standard error of slope is 1.5. The sample size is 20.

Answered: Baucators conducted a study of how…

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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