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Unformatted text preview: Engineering Statistics I; Math 223 Test 1, Fall 2007-2008; 100 points Name _____________________ KEY _______ __ _______________________ Instructions: There are 8 problems on this test. The point value of each problem is indicated next to it. You may use the front and back sides of one 4 x 6 notecard with whatever handwritten material you have transferred onto it. The material may include examples, homework problems, formulas, Maple commands, diagrams, symbols; i.e., basically anything. Im providing you with a standard normal table for this test. You may use a clean Maple worksheet, a clean Minitab worksheet, and/or a calculator on this test. Clearly indicate your final answers by circling them. Please give decimal approximations correct to at least 2 places, unless indicated otherwise. Even if you are using Maple to evaluate an expression, still write down the mathematical formula (e.g., summation), expression (e.g., integral), or equation you are using to do the problem. Points will be deducted, even if you supply the correct answer , if you do not have the correct mathematical set up of the problem. Please indicate when you have used Minitab to assist with a problem. Include Minitab commands or functions used on a problem. Number of Points Page 1 (12 points) Page 2 (14 points) Page 3 (22 points) Page 4 (16 points) Page 5 (20 points) Page 6 (16 points) Total (100 pts) 1 1. The IID Assumption (12 pts 4 pts each) (a) Data is collected on the sodium content (in mg) of bags of Low Salt Baked Cheetos as they come off of a production line. Based on the following time series plot and random order plot, would you argue that this data is IID? Why or why not? 60 54 48 42 36 30 24 18 12 6 1 1.0 0.5 0.0-0.5-1.0 Index mg of Na Time Series Plot (a) 60 54 48 42 36 30 24 18 12 6 1 1.0 0.5 0.0-0.5-1.0 Order (Random) mg of Na 0.034 Random Order Random Order Plot (a) Not IID the time series plot makes it evident that the data has nonconstant variance; i.e. the data is not identically distributed. (b) The carapace length (in cm) from a sample of loggerhead turtle hatchlings captured along a quarter mile stretch of beach on St. Georges Island in Florida is recorded. Based on the following time series plot and random order plot, would you argue that this data is IID? Why or why not?...
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This note was uploaded on 04/24/2008 for the course MA 223 taught by Professor Devasher during the Spring '08 term at Rose-Hulman.
- Spring '08