Experiment 1 lab - size statistically speaking was to small o The Gaussian distribution fit much better for the histogram for the 300 glass marble

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Jonathan Pomerantz February 17, 2010 jmp3466 Wed. 8:00-10:00 AM Experiment 1 Lab Report Introduction In this lab we rolled a marble down a board of nails to see if the results of its ending locations could be described by the Gaussian probability distribution. For the most part, the results matched the distribution Conclusion Qualitative Results o For 50 glass marble rolls X av = 0.84 σ = 3.776 Σ G(x) = 0.9936 Σ P(x) = 1 o For 300 glass marble rolls X av = 0.8867 σ = 4.08528 Σ G(x) = 0.9882 Σ P(x) = 1 o For 150 steel marble rolls X av = 0.04 σ = 4.9898 Σ G(x) = 0.9649 Σ P(x) = 1 Specifics o The Gaussian distribution was not a good approximation for the histogram for the 50 glass marble rolls most likely because the sample
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Unformatted text preview: size, statistically speaking, was to small. o The Gaussian distribution fit much better for the histogram for the 300 glass marble rolls, likely due to the larger sample size. o The Gaussian distribution fit adequately for the histogram for the 150 steel marble rolls most likely because of the smaller sample size and/or the smaller size of the marble causing the standard deviation to be larger. Error Analysis o The value for x av was not quite zero in any case where as theoretically, it should be. This error could be attributed to: Sample size being too small The board not being exactly level The pegs in the board not being exactly evenly spaced...
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This note was uploaded on 04/12/2011 for the course PHY 303K taught by Professor Turner during the Spring '08 term at University of Texas at Austin.

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Experiment 1 lab - size statistically speaking was to small o The Gaussian distribution fit much better for the histogram for the 300 glass marble

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