OPRE 3360: Managerial Methods in Decision Making Under Uncertainty Assessment Assignment [Part A: Module 11 - Hypothesis Testing and Statistical Inference [Metacritic and One Night In Miami Metacritic is a website that aggregates reviews of music, games, and movies. For each product, a numerical score is obtained from cach review and the website posts the average score as well as individual reviews. The website is somewhat similar to Rotten Tomatoes, but Metacritic uses a different method of scoring that converts each review into score in 100-point scale. In addition to using the reviewer's quantitative ratings, Metacritic manually assesses the tone of the review before scoring. Historical data shows that these converted scores are normally distributod. One of the movies that the Metacritic rated was One Night In Miami. The first review came out on Sep 10, 2020 (Jamie Graham from Total Film) and other reviews started to trickle in before the movie was released on December 25, 2020. The data in the "One Night In Miami" sheet of "Part A - Data Sets for Assessment Assignment.xlsx" contains a sample of the media outlets, reviewers, scores and review dates for all reviews that Metacritic collected until the release date. Use this data set to answer questions I to S. 1. 12 pt What are the sample mean and sample standard deviation of the scores in this sample? Sample mean: Sample standard deviation: 2. 12 pt A 95% confidence interval for the true average score (11) of One Night in Miami is 95% confidence interval: 3. 12 pt A 90% confidence interval for the true average scor (1) of One Night In Miami is: 90% confidence interval: 4.11 ptBetween the 95% and 90% intervals, which one is wider and why? (a) The 90% interval because it is a less accurate interval. (b) The 95% interval because it is a more useful interval. () The 90% interval since, in order to decrease the confidence from the 95% to 90%, the margin of error should increase so that the intervals constructed using sampling will capture the true mean more often (d) The 95% interval since, in order to increase the confidence from the 90% to 95%, the margin of error should increase so that the intervals constructed using sampling will capture the true mean more often 5. 12 pt] Let p denote the population proportion of reviewers who rate One Night In Miami with a score of 85 or higher. A 95% confidence interval for p is: 95% confidence interval: B Name A.O.Scott Richard Roeper Ty Burr 1 Media Outlet 2 The New York Times 3. Chicago Sun-Times 4 Boston Globe 5 Empire 6. Consequence 7 JIGN B. Indie Wire 9. The Film Stage 10 Entertainment Weekly 11 Polygon 12 Los Angeles Times 13. Arizona Republic 14 Variety 15 Slashfilm 16. Uproxx 17 Paste Magazine 18 Austin Chronicle 19. The Associated Press 20 ABC News 21 Chicago Tribune 22 Roger bert.com 23 Observer 24 CNN 25 Film Threat 26. Original-Cin 27. The Observer 28. The Wall Street Jornal 29 Time 30 Vox 31 Screen Rant 32 CineVue 33 Vulture 34 The Wrap 35. The Guardian 36 The Hollywood Reporter 37 San Francisco Chronide 38. ReelViews 39 The Globe and Mail 40. The A.V.Club 41 LarsenOnFilm 42 Washington Post 43 Slant Magazine 44. The A.V.Club 45 Rolling Stone 46 Screen Daily 47 The Playlist 48 Vanity Fall 40 Movie Nation SO The Guardian 51 The Telegraph 52 C 5 54 Ellen E Jones Joe Lipsett Kristy Puchko Kate Erbland Jared Mobarak Leah Greenblatt Siddhant Adlakha Justin Chang Bill Goodbykoonte Owen Gleiberman Chris Evangelista Mike Ryan Andrew Crump Selome Hailu Jake Coyle Peter Travers Michael Phillips Odie Henderson Oliver Jones Brian Lowry Tiffany Tchobanian Thom Ernst Simran Hans John Anderson Stephanie Zacharek Alissa Wilkinson Mae Abdulbaki Matthew Anderson Helen Shaw Alonso Duralde Jonathan Romney David Rooney Mick LaSalle James Berardinelli Sarah Tai Black Shannon Miller Josh Larsen Ann Hornaday Jake Cole Katie Rite K. Austin Collins Fionnuala Halligan Jessica Kiang Cassie Da Costa Roger Moore Peter Bradshaw Robbie Collin Nicholas Barber G D Score Review Date 100 1/14/2021 100 1/14/2021 100 1/14/2021 100 1/12/2021 100 9/15/2020 100 9/13/2020 91 9/12/2020 91 9/12/2020 91 9/11/2020 90 1/15/2021 90 1/7/2021 30 1/7/2021 90 9/12/2020 90 9/12/2020 90 9/10/2020 1/19/2021 89 1/7/2021 88 1/19/2021 BB 1/15/2021 BB 1/12/2021 BB 12/28/2020 88 10/22/2020 85 1/8/2021 85 10/20/2021 83 1/14/2021 80 1/28/2021 80 1/27/2021 80 1/21/2021 BD 1/21/2021 80 1/21/2021 30 1/19/2021 30 1/14/2021 30 9/12/2020 BO 9/12/2020 BD 9/12/2020 75 1/14/2021 25 1/14/2021 75 1/12/2021 75 1/2/2021 75 1/4/2021 75 12/23/2020 75 9/14/2020 23 9/12/2020 20 1/14/2021 70 9/12/2020 67 9/12/2020 1/21/2021 1/15/2021 60 12/23/2020 60 9/12/2020 60 9/12/2020