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LIR 832 midterm fall 2003 - LIR 832 Mid-term Examination...

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LIR 832: Mid-term Examination: Fall, 2003 Answer all questions as completely as you are able. Partial credit on problems is only possible if I can locate arithmetic errors in your calculations. Show your work!!! Part I: Definitions: (20 points - 2 points per definition) Answer nine out of ten of the following. Provide a definition and explain the importance in statistics of each term. Do not limit yourself to copying the formulas from the formula sheet. I. 1% Test of Significance II. Experiment III. Z-transformation: IV. Sample Regression:
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V. r 2 VI. Representative Sample VII. Independent Events: VIII. t-statistic
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IX. Constant or Intercept in the Regression Line: X. Residual
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Part II. Problems: Each Problem is worth 20 points. Answer five of the six problems. If you chose to answer all, I will select the five with the lowest scores. A. We have five plants with identical employment located in Vermont. There is some discussion in our firm as to whether higher earnings are associated with lesser absenteeism (people come to work more often because they give up more if they are absent) or higher absenteeism (they have more money so its more fun to take time off). We collect the following data on average weekly earnings and the average number of employees absent from each of the plants over the last year. Average Weekly Earnings Number Absent 500 120 750 30 450 100 725 50 600 100 Calculate the covariance and correlation of average weekly earnings and the number absent. Which view is supported by these results? You should treat this data set as a sample.
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B. It is our belief that, as we approach winter and days become shorter, students become depressed if not crazed. There is a test for depression, called the slug test, which measures the number of eye movements in a one minute period. Long experience with this test shows that, in a mentally healthy population, eye movement is normally distributed with a mean of 75 blinks per minute and a standard deviation of 10 blinks per minute. Reduction in the rate of eye movement is associated with depression, sluggishness and inexplicable homicidal rage.
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