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Darts Statistical Lab with average, SDM, and probability

  1. Feb 13, 2012 #1
    1. The problem statement, all variables and given/known data

    Darts Lab: In lab, my group threw 100 darts and the class had a total of 1000 darts thrown. The target was between bins 24 and 25 I calculated all of the following:
    attachment.php?attachmentid=43868&stc=1&d=1329166008.png

    Table IIa:
    (mean of means) = 24.80
    (standard deviation of the means) = 0.48

    
(a) Compare (the mean of the means) with the class average. They are equal. Should they be? Explain.

    (b) One definition of an experiment well done is a small SDM. By what factor must we increase the number of darts thrown to decrease SDM by a factor of 4 if the sd remains the same?

    (c) Through an examination of class total data from Table II, what would you give as an estimation (with an uncertainty) for the mean of the means of all physics lab classes throwing darts this week?

    (d) If a random person in the class were to throw a single dart, what is the probability that it would land in bin 23? What about bin 29?

    2. Relevant equations

    (all calculations already completed)

    3. The attempt at a solution

    For (a), They are equal, and I think they should be, because the same calculations are being done. Am I missing something? It seems kind of obvious and I don't know why they are asking us to explain.

    For (c) would it just be the "accurate" answer which would be bin 24.5?

    I dont really know where to go from here, please help me understand.
     

    Attached Files:

  2. jcsd
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