08ProbStatHw2Sol

08ProbStatHw2Sol - SIEO 3600 Introduction to Probability...

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SIEO 3600 Assignment #2 Solutions Introduction to Probability and Statistics February 7, 2009 Prof. Mariana Olvera-Cravioto Page 1 of 3 Assignment #2 Solutions 1. The frequency table is shown below: Quartile Percentile Value 25% 1 26603 50% 2 30423 75% 3 32588 2. The histogram is shown below: 0 50 100 150 200 250 0 5 10 15 class(ug/m 3 ) Frequency Histogram The histogram is not aproximate normal, is skewed to the right. 3. (a) The stem and leaf plot is shown below: s l 3 . 4 6 8 9 3 . 5 0 5 6 3 . 6 1 2 5 6 7 9 3 . 7 0 1 2 2 2 4 5 9 3 . 8 0 2 3 6 7 3 . 9 0 1 3 5 6
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2 SIEO 3600, Assignment #2 Solutions (b) The sample mean is 3.72 (c) The sample standard deviation is 0.1457 (d) The proportion of the data values that lies within x ( n ) ± 1 . 5 s ( n ) is 24/30. The interval is [3.5022;3.9392]. The chebychev inequality say that no more than 1 / 1 . 5 2 of the data are more than 1.5 standard deviation from the mean in our case 6/30=1/5 are outside 1.5 standard devia- tions from the mean. Or that at least 1
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This note was uploaded on 02/10/2010 for the course IEOR 3600 taught by Professor Chudnovsky during the Spring '09 term at Columbia.

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08ProbStatHw2Sol - SIEO 3600 Introduction to Probability...

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