1) DEPENDENT SAMPLES T-TEST #2 (3 points) During the pandemic, your professor's background noise of choice during workin

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1 Dependent Samples T Test 2 3 Points During The Pandemic Your Professor S Background Noise Of Choice During Workin 1 (176.09 KiB) Viewed 29 times

1) DEPENDENT SAMPLES T-TEST #2 (3 points) During the pandemic, your professor's background noise of choice during working hours was speedrunning channels on Twitch. Speedrunning is a hobby in which people basically try to beat certain video games as quickly as humanly possible; it's very dorky, but as background noise, it provides the perfect balance of being engaging without being distracting. And in particular, because the pandemic forced people to stay indoors, it seemed like many in the community were putting more effort into speedrunning "their game” than they normally would. I want to know if speedrunners significantly decreased their fastest time on a certain game, from right when the pandemic started (Time 1) to now (Time 2). Here is the data, in terms of the number of minutes it took them to complete the game in question. Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 Person 8 Start of the pandemic 124 135 111 172 267 138 177 166 Now 120 114 111 135 179 124 162 148 Here are the formulas: df =N-1 t = ΣD NZD2-(ED) N-1 Do a dependent-samples t-test. Make sure you include the following in your answer: A) Show all work for how you got your t-statistic. B) What is your critical value? Explain to me why you kept or rejected the null. What does this mean in practical terms?
2) ANOVA (4 points) Inspired by “The Last Dance," i.e., ESPN's Michael Jordan documentary from 2020, I wanted to compare the contributions of Michael Jordan and LeBron James during their respective championship seasons, as they are the only legitimate contenders for the title of "greatest of all time.” Then, I threw Tim Duncan (who also won five championships) into the mix, in order to make it an ANOVA. " I looked at Win Shares in particular, which is a number that advanced statisticians have created which estimates the number of wins for which the player was personally responsible that season. (Ignore the fact that both LeBron James and Tim Duncan had a championship season that was shortened. I'm just giving you data to analyze.) TTTTT Jordan 20.3 17.7 17.2 20.4 18.3 15.8 James 14.5 19.3 13.6 9.8 Duncan 8.7 16.5 11.2 13.0 7.4 A) Please fill in the following ANOVA table, and show all work! The formulas are included below the table. The numbers will get large, but you can use a calculator. Just keep careful track of your progress. Sum of squares Mean square F-statistic Degrees of freedom (df) Between groups SS(between) K-1 SS(between) /df(between) SS(within) MS(between) /MS(within) Within groups SS(within) N-K /df(within) TOTAL SS(B) + SS(W) N-1 SS Between SS Within = + = n(X1-GM)² +n2(X2-GM)² +n; (X3 -GM)? = SS, +SS, +SS (2x) = {x? SS = n B) Are we rejecting or keeping the null hypothesis, and what does that mean in practical terms? (Remember what an ANOVA can and cannot tell us.) Make sure that you explain why we're rejecting or keeping the null, in terms of the critical value.
3) REGRESSION (3 points) With the caveat that correlation does not equal causation, I decided to run a regression model in order to predict COVID-19 vaccination rates depending on level of education (by state). Again, A) education scores are the predictor X, and B) COVID vaccination rates are the outcome Y. When I ran the regression model, I ended up with the following equation: y = 0.49x + 39.24 Based on this regression equation, answer the following questions: » A) What do both numbers mean in this equation? Education scores are measured in terms of “points,” and vaccination rates are measured in terms of “percentage." (0.5 points) B) Draw a chart that shows the regression line for this equation. Your chart should be clean and organized, but does not have to be accurate to the exact dot. (2 points) C) Finally, here is the dataset that I used to determine education scores for each state: (https://wallethub.com/edu/e/most-educated-states/31075). Based on this dataset... What would you predict the vaccination rate of Massachusetts to be? (0.25 points) What would you predict the vaccination rate of Florida to be? (0.25 points) You don't need this dataset, but just for the sake of transparency, here is the dataset that has state COVID-19 vaccination rates: (https://www.mayoclinic.org/coronavirus- ... ne-tracker)