lab01_statistics - Laboratory 1 Introduction to Statisti...

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Unformatted text preview: Laboratory 1: Introduction to Statisti Physics 127/141 - Wint Replace with both your names, current date and section number Please name your file uniqname.xlsx, and save one copy for each student Experiment 1: Fitting Data to a Model (Problem 1.8) How can you measure gravitational acceleration from the positio Position vs. time graph (Trial 1) Position vs. time graph (Trial 2) Position vs. time graph (Trial 2) Position vs. time graph (Trial 3) Position vs. time graph (Trial 4) Experiment 2: Statistical Analysis Your data (histogram) Minimum Maximum Mean Number of trials Standard deviation Error of the mean 95% C.I. (lower bound) 95% C.I. (upper bound) 250 groups' data (histogram) 250 groups' data (histogram) Minimum Maximum Mean Number of trials Standard deviation Error of the mean 95% C.I. (lower bound) 95% C.I. (upper bound) (Problem 1.9) Look at the confidence intervals for your four graphs. What con Why is this so? Your answer should show that you understand the two factors (Problem 1.10) What do you notice about the shapes of the histograms as mor shape look like if you had an infinite number of data points? (Problem 1.11) The error of the mean is proportional to 1/sqrt(N). Given this fa error of the mean for the class data is larger than the error of the mean for you (Problem 1.12) The distributions for 250 groups and 600 groups look very sim centered at about the same mean. Given this fact, what advantage do we gain roduction to Statistics and Data Analysis ysics 127/141 - Winter 2010 acceleration from the position vs. time graph of a falling object? ph (Trial 1) Trial 1 g (m/s2) Trial 2 g (m/s2) Trial 3 g (m/s2) Trial 4 g (m/s2) ph (Trial 2) ph (Trial 2) ph (Trial 3) ph (Trial 4) Class data (histogram) Minimum Maximum Mean Number of trials Standard deviation Error of the mean 95% C.I. (lower bound) 95% C.I. (upper bound) 600 groups' data (histogram) 600 groups' data (histogram) Minimum Maximum Mean Number of trials Standard deviation Error of the mean 95% C.I. (lower bound) 95% C.I. (upper bound) your four graphs. What confidence interval is the widest? Which is the narrowest? ou understand the two factors that affect the size of a confidence interval. pes of the histograms as more and more data points are added? What would the ata points? nal to 1/sqrt(N). Given this fact, what could possibly explain a situation where the the error of the mean for your group's data alone? nd 600 groups look very similar; they have approximately the same width and are , what advantage do we gain by having all that additional data? al 1 g (m/s2) al 2 g (m/s2) al 3 g (m/s2) al 4 g (m/s2) ...
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This note was uploaded on 05/16/2010 for the course PHYSICS PHYS taught by Professor Tony during the Spring '07 term at University of Michigan-Dearborn.

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