stat final

stat final - University of Vermont Stat 141 Online Summer...

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University of Vermont Stat 141 Online – Summer 2007 Final Exam Take Home Please contact me via e-mail if you have any clarification questions. 75 TOTAL POINTS Instructions: Complete the following showing all your work. All problems can be performed using MINITAB to assist you. ****************************************************************************** CONSENT OF ACADEMIC HONESTY: I have not acquired any assistance from anyone or offered my assistance to anyone. All work submitted on this examination is my own. Signed: Marco Maffeo-Robinson ****************************************************************************** REPLACE EACH OF THE 9 UNDERSCORES IN EACH PROBLEM WITH THE INDIVIDUAL NUMBERS OF YOUR SOCIAL SECURITY NUMBER. I. The accompanying data values are 1989 per capita expenditures on a sample of public libraries from each of the n=50 states. (25 points) 29. 01 24. 06 23. 81 23. 48 22.1 1 21.16 19.83 19.81 19.25 19.18 18.62 18.01 17.95 17.23 16.53 16.29 15.89 15.85 14.74 14.53 14.46 13.83 13.64 13.37 13.16 13.09 12.66 12.37 11.93 11.85 11.71 11.53 11.34 10.99 10.55 10.24 10.06 9.84 9.65 9.44 8.72 8.22 8.13 8.01 7.70 7.56 7.46 7.04 6.58 5.98 1. Describe this data set by calculating the sample mean, median, range, and standard deviation: Sample Mean: 13.969 Median: 13.125 Range: 23.030 St.Dev.: 5.345
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2. Draw a histogram for the data. 3. Draw a box plot for the data. Would you say this data contains any outliers? No Why or why not? Because [(mild outliners<Q1-1.5IQR) and (mild outliners>Q3+1.5IQR)] mild outliners would have to be respectively less than -2.28 and greater than 30.22 in this case. 4. Describe the shape of your histogram relative to skew and modal shape. This is a unimodal shaped histogram. This is because it only has one significant peak. However it is not symmetric which means that it has a bit of skewness.
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The skewness of the histogram is 0.68. This means that the graph is positively skewed. This makes sense because the skewness line visually appears to have a distribution line tailing to the right. 5. Calculate the approximate probability that one state chosen at random will have an expenditure > 10
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stat final - University of Vermont Stat 141 Online Summer...

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