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University of Houston *

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1103

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Statistics

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Feb 20, 2024

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docx

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Spring 2024 STA 2215 Dr. Ramnarine Problem Set 1 Instructions: This problem set is due by on Friday February 2nd, 2024 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 . o 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 o Save the file as a PDF, and name the file FirstInitial_LastName.pdf 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 : 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. Name the file FirstInitial_LastName.pdf. For example if your name is Jessie Smith, your file should be labelled as J_Smith.pdf 1
Spring 2024 STA 2215 Dr. Ramnarine 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, Julia 13 56 60 New York 3 Koch Industries Walton, Alice 14 50 72 Texas 0 Walmart Dell, Michael 14 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? c) [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, and bridges in the state?” Possible responses were vote for, vote against, and no opinion. One thousand 2
Spring 2024 STA 2215 Dr. Ramnarine and twenty respondents said they would vote for the law, 432 said they would vote against the law and 48 said they had no opinion. a) [2 points] Do the responses for this question provide categorical or quantitative data? b) [2 points] What was the sample size of this poll? c) [2 points] What percentage of respondents would vote against the law increasing the gas tax? d) [2 points] Do the results indicate general support for or against increasing the gas tax to improve roads and bridges? Explain Question 3 [10 points] In each of the following scenarios, please list the relevant measurement scale (nominal, ordinal, ratio and interval) a) [4 points] The following national weather report gives the temperatures and weather conditions on the previous day in cities across the nation.   City Hi Lo Weather Condition   Albany, N.Y. 88 60 cloudy   Chicago 92 64 clear   Dallas-Ft.Worth 89 72 cloudy   Denver 75 54 clear   Hartford 88 61 cloudy   Los Angeles 80 62 cloudy   Nashville 94 72 rain   New York City 90 69 rain   Philadelphia 90 67 rain What measurement scale is used for each of the following variables – ‘Hi’ and ‘Weather conditions’? b) [2 points] Marital status (single, married, divorced) is an example of a variable that uses the ______ scale 3
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