QMETH 201 Quiz 1 Madunic FALL 2022

QMETH 201, Quiz 1 Instructions 1. Make sure you show your work to receive full credit. 2. If you need additional space, write on blank pages to the left. Good Luck! Student ID: ___________________ Student Name: _______________ By signing below you acknowledge that you are a member of a learning community in the Foster School of Business that is committed to the academic standards of honesty, respect, and integrity, and that you adhered to these standards while completing this exam. ________________________________ Signature 1

1. Please PRINT the UPPER-CASE letter of the appropriate type of data on the line next to description. (2.5 points) TYPE of DATA DESCRIPTION H Sample __ E __ Labels, names, or categories; can represent with numbers U Time-Series __ S __ Inherently numeric; often represent by how many or how much S Quantitative __ K ___ Collected at one point, or approximately the same point, in time K Cross-Sectional __ U ___ Collected over several, or numerous, points in time I Population __ I ___ Set of all entities of interest in a study E Qualitative 2. Between 1976 and 2016, the USA Olympic team has participated in 10 Olympic Games (the team USA has missed the Moscow 1984 Games due to the Cold War ). The total number of gold medals won in each of the 10 Games ranged between 33 and 83. The number of gold medals won in each of the Games is listed below: 33 34 83 36 37 44 37 36 46 47 Calculate the value, in number of gold medals, at the 69.5 th percentile (SHOW work). ( 2 points) 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 8 th 9 th 10 th 33 34 36 36 37 37 44 46 47 83 Position (n + 1) x % 100 = (10 + 1) x 69.5 100 = 764.5 100 = 7.645 Value: 44 + 0.645 x (46-44) = 44 + 1.29 = 45.29 3. The table below contains the three columns with the following information (related to gasoline prices in Vancouver, WA recorded on 7 days in Mar/Apr of 2022: A) dates of recorded prices; B) deviations from the mean (price) value; and C) squared deviations from the mean (price) value. 2

5. The data below show the number of motor vehicle thefts and the number of motor vehicles registered for four university areas during 2018 (supporting work required for credit): University Area Number of Thefts Vehicles Registered Baton Rouge, Louisiana 1,045 205,962 Ann Arbor, Michigan 653 125,343 Berkeley, California 892 165,323 Madison, Wisconsin 1,234 318,256 a) In which university area would you prefer to park your vehicle? Explain briefly. ( 1 point )  Madison, WI, because it has the lowest theft rate b) In which university area would you not prefer to park your vehicle? Explain briefly. ( 1 point )  Berkeley, CA, because it has the highest theft rate 6. The following information regarding the seven richest Americans was reported in a recent issue of Forbes . ( Each correct answer: 0.5 point ) Name Ranki ng Worth ($Billio ns) Ag e Marit al Status Source Gates, William 1 59.0 51 marrie d Microsoft Buffett, Warren 2 52.0 77 marrie d Berkshire Hathaway 4

Ellison, L. J. 3 26.0 63 marrie d Oracle Brin, Sergey 4 18.5 34 marrie d Google Page, Larry 4 18.5 34 single Google Dell, Michael 5 17.2 42 marrie d Dell a) How many elements are in the above data set? 6 b) How many variables are in this data set? 5 c) How many observations are in this data set? 6 d) What measurement scale is used for variables "Age" and "Marital Status"? Ratio and nominal 7. The frequency distribution below was constructed from data collected on the quarts of soft drinks consumed per week by 20 students. Quarts of Soft Drink Frequency 0 - 3 4 4 - 7 5 8 - 11 6 12 - 15 3 16 - 19 2 a) Construct a percentage frequency distribution (1 pt) b) Construct a cumulative percentage frequency distribution (1 pt) Quarts of Soft Drinks Frequency Percentag e Frequency Cumulativ e Percentag e Frequency 0 - 3 4 20% 20% 4 - 7 5 25% 45% 8 – 11 6 30% 75% 12 – 15 3 15% 90% 16 – 19 2 10% 100% Total 20 100% 5