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STA 2215, Spring 2023 Dr. Ramnarine Problem Set 1 Instructions:  This problem set is due by on Friday Feb 3rd, 2023 by 11:59 p.m.  The homework assignment will be submitted through the Blackboard Portal . There are 6 questions. Total: 55 points .  In order to receive credit, you MUST SHOW YOUR WORK! o Listing a numerical answer without any proof of work will receive 0 credit . o You are expected to give detailed answers to questions that ask for a discussion, interpretation or explanation.  Additionally, please make sure the page numbers are labelled and the question and corresponding parts are clearly stated. Submission Options: Option 1:  Write your answers on pages with pen/pencil AND scan all pages as ONE DOCUMENT . This document must be in . pdf format . You can use a scanner app on your phone like FineScanner, CamScanner, and AdobeScan It. is advisable to download the phone scanning app CamScanner. Here is a tutorial video using the CamScanner app:  https://youtu.be/UkYlGa3y4tk  Save the file as a PDF, and name the file FirstInitial_LastName. For example if your name is Jessie Smith, your file should be labelled as J_Smith.pdf  Please do not submit any image “picture” files - .jpeg, .jpg, .png. Do not take a picture of your handwritten notes and submit the pictures. It has to be scanned through the phone app as described above. If the assignment is not submitted as a pdf file – it will be returned to you and not graded till the above requirements are met. If you are experiencing problems with submitting, email me and I will help! Option 2 : As this homework assignment is more qualitative in nature , for this reason - you can type your answers, save the file as a pdf and submit on Blackboard. Option 3 : If you have a stylus pen and tablet on which you can write your solutions, you can utilize this method. Convert the file to pdf format and then submit 1

Question 1 [10 points] The following information regarding the richest Americans was reported in a recent issue of Forbes . Name Ranking Worth ($Billions) Age State Number of Children Source Musk, Elon 1 251 51 Texas 10 Tesla, SpaceX Bezos, Jeff 2 151 58 Washington 4 Amazon Gates, Bill 3 106 66 Washington 3 Microsoft Ellison, Larry 4 101 78 Hawaii 2 Software Buffet, Warren 5 97 92 Nebraska 3 Berkshire Hathaway Page, Larry 6 93 49 California 2 Google Sergey, Brin 7 89 49 California 2 Google Ballmer, Steve 8 83 66 Washington 3 Microsoft Bloomberg, Michael 9 76.8 80 New York 2 Bloomberg LP Walton, Jim 10 57.9 74 Arkansas 4 Walmart Zuckerberg, Mark 11 57.7 38 California 2 Facebook Walton, Rob 12 56.7 77 Arkansas 3 Walmart Koch, Charles 13 56 86 Kansas 2 Koch Industries Koch, Julia 13 56 60 New York 3 Koch Industries Walton, Alice 15 55.7 72 Texas 0 Walmart Dell, Michael 16 50 57 Texas 4 Dell Technologies a) [2 points] How many elements are in the above data set? b) [2 points] How many variables are in this data set? d) [6 points] What measurement scale is used for each variable? Question 2 [8 points] An online newspaper, The Tennessean recently conducted a poll to obtain reader opinion on the proposed gas tax increase. Participants responded to the following question: “Would you vote for a state law that would increase the gas tax up to 20 cents a gallon, with the new gas tax money going to improve roads, 2

are ‘definitely will’, ‘probably will’, ‘probably will not’, ‘definitely will not’. What measurement scale is used? Question 4 [8 points] Every year, the U.S. Coast Guard collects data and compiles statistics on reported recreational boating accidents. These statistics are derived from accident reports that are filed by the owners/operators of recreational vessels involved in accidents. In 2009, 4730 recreational boating accident reports were filed. The figure below provides a bar chart summarizing the number of accident reports that were filed each month (U.S. Coast Guard’s Boating Safety Division website, August 2010) a) [2 points] Are the data categorical or quantitative? b) [2 points] Are the data time-series or cross-sectional? c) [2 points] In what month were the most accident reports filed? Approximately how many? d) [2 points] There were 61 accident reports filed in January and 76 accident reports filed in December. What percentage of the total number of accident reports for the year were filed in these two months? Does this seem reasonable? Explain. Question 5 [8 points] Bloomberg Research Corporation conducted a random survey on tax preparation methods. Data was collected from 5600 adults (aged 18 and older). The survey results showed that 1949 of those surveyed planned to file their taxes electronically. a) [3 points] Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically. b) [2 points] The survey reported that the most frequently used method for preparing the tax return is to hire an accountant or professional tax preparer. If 57% of the people surveyed had their tax return prepared this way, how many people used an accountant or professional tax preparer? 4

c) [2 points] Other methods that the person filing the return often used include manual preparation, use of an online tax service, and use of a software tax program. Would the data for the method for preparing the tax return be considered categorical or quantitative? d) [1 point] Does this survey involve cross-sectional or time series data? Question 6 [11 points] A sample of twenty-five 8-year old boys shows their favorite superheroes: Spiderman Captain America Spiderman Superman Batman Spiderman Spiderman Iron Man Iron Man Superman Spiderman Batman Batman Captain America Iron Man Spiderman Spiderman Batman Superman Batman Aquaman Spiderman Spiderman Superman Batman   a) [6 points] Construct a Frequency Distribution table b) [2 points] What is the relative frequency for Batman? c) [2 points] What is the percent frequency for Spiderman? d) [1 point] Who is the least liked superhero? 5