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Unformatted text preview: Ecn 102 - Analysis of Economic Data University of California - Davis April 23, 2009 Instructor: John Parman Midterm 1 You have until 10:20am to complete this exam. Please remember to put your name, section and ID number on both your scantron sheet and the exam. Fill in test form A on the scantron sheet. Answer all multiple choice questions on your scantron sheet. Choose the single best answer for each multiple choice question. Answer the long answer questions directly on the exam. Keep your answers complete but concise. For the long answer questions, you must show your work for full credit. Name: ID Number: Section: (POTENTIALLY) USEFUL FORMULAS x = 1 n n i =1 x i s 2 = 1 n- 1 n i =1 ( x i- x ) 2 CV = s x skew = n ( n- 1)( n- 2) n i =1 ( x i- x s ) 3 kurt = n ( n +1) ( n- 1)( n- 2)( n- 3) n i =1 ( x i- x s ) 4- 3( n- 1) 2 ( n- 2)( n- 3) = E ( X ) z = x- n t = x- s n Pr [ T n- 1 > t ,n- 1 ] = Pr [ | T n- 1 | > t 2 ,n- 1 ] = n i =1 a = na n i =1 ( ax i ) = a n i =1 x i n i =1 ( x i + y i ) = n i =1 x i + n i =1 y i s 2 = x (1- x ) for proportions data t ,n- 1 = TINV (2 ,n- 1) Pr ( | T n- 1 | | t * | ) = TDIST ( | t * | ,n- 1 , 2) Pr ( T n- 1 t * ) = TDIST ( t * ,n- 1 , 1) (POTENTIALLY) USEFUL EXCEL OUPUT TINV(.01,499)=2.59 TINV(.02,499)=2.33 TINV(.025,499)=2.25 TINV(.05,499)=1.96 TINV(.10,499)=1.65 TINV(.20,499)=1.28 TINV(.01,399)=2.59 TINV(.02,399)=2.34 TINV(.025,399)=2.25 TINV(.05,399)=1.97 TINV(.10,399)=1.65 TINV(.20,399)=1.28 TINV(.01,299)=2.59 TINV(.02,299)=2.34 TINV(.025,299)=2.26 TINV(.05,299)=1.97 TINV(.10,299)=1.65 TINV(.20,299)=1.28 2 Midterm 1 SECTION I: MULTIPLE CHOICE (55 points) 1. Suppose you have annual observations of obesity rates for the past fifty years and you want a graph of the data that shows the trend in obesity over time. The best graph for this purpose would be: (a) A bar chart. (b) A pie chart. (c) A line chart. (d) A histogram. 2. The probability of a Type II error occurring depends on: (a) The true population mean. (b) The significance level, . (c) The sample size. (d) All of the above. 3. Which of the following statements is false? (a) The interquartile range is always less than or equal to the range. (b) The coefficient of variation will be smaller when the sample mean is larger, all other things held constant. (c) The mode is always less than or equal to the median. (d) The mean will increase if the largest observation is doubled. 4. The magnitude of the critical value for an upper one-tailed test at a 5% significance level will be: (a) Greater than the magnitude of the critical value for a two-tailed test using the same data at a 5% significance level....
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- Spring '08