Eight students in a statistics class were asked to report the number of hours they slept on weeknights and on weekends. The table shows the results. Student # 1 2 3 5 weeknight hours 8 5.5 7.5 8 7 weekend hours 4 7 10.5 12 1. (2 point) Is this a problem involving independent samples or a dependent sample? WHY? 2. (2 point) Create a 95% confidence interval on the mean difference and interpret the intervals in the context of the problem. 3. (2 point) Write the two hypotheses for the problem. 4. (2 point) Perform a statistical test on the difference in the number of hours slept on weeknights vs. weekend nights and report your test statistic and p-value. . 5. (2 points) Draw a conclusion based on your test. Substantiate your conclusion with statistical arguments