Download 7 Questions on Exam 1 - Elements of Probability and Statistics | MATH 214 and more Exams Mathematics in PDF only on Docsity! Math 214, Exam 1, Spring 2006, page 1 of 3 Math 214 Exam 1 Spring 2006 Name____________________________ Instructions: Please do all work in the space provided as much as possible. If you use additional paper, please write "see attached" and number your problems clearly. Show all work! Correct answers without supporting work and/or explanation may not receive full credit. Point values are in brackets [ ]. 1. For each of the following statements, determine whether the given statement is sensible and explain why it is or is not. a) [5] When the price of gas increases, the Consumer Price Index will also increase. b) [5] The cumulative frequency in a table is given as 1.23. c) [5] The relative frequency in a table is given as 1.23. 2. [8] Using the rectangle on the left, draw a diagram to represent 37.5%. Using the rectangle on the right, draw a diagram to represent 110%. 3. Given the following descriptions, state whether they represent random or systematic errors. Explain why you chose as you did. a) [4] A supermarket butcher is weighing ground beef into one-pound packages. The weights are close to, but not exactly, one pound each. b) [4] The scale that the supermarket uses has not been checked for accuracy in over five years. Math 214, Exam 1, Spring 2006, page 2 of 3 4. Use the graph below to answer questions 4a. through 4g. Round off to the nearest tenth, if needed. Favorite Colors 0 1 2 3 4 5 6 7 8 red yellow blue green purple orange Colors fr eq ue nc y 4a. [3] How many respondents chose yellow? 4b. [4] What percent of the sample chose red? 4c. [4] What is the absolute difference between those who chose green and those who chose blue (reference)? 4d. [6] What is the relative difference between those who chose orange and those who chose purple (reference)? 4e. [4] Fill in the blanks: The number who chose orange is _____ % _______ than those who chose purple. more/less 4f. [4] Fill in the blank: The number who chose orange is _____ % of those who chose purple. 4g. [4] Fill in the blank: The number who chose purple is _____ % of those who chose orange.
