Unformatted text preview: t is Gaussian and want to check this hypothesis. To do this (a) Find the mean ¯ t and variance σ of the data. (b) Group the values of t into four bins with boundaries ¯ tσ , ¯ t , and ¯ t + σ and count the observed number O k in each bin k = 1 , 2 , 3 , 4. Assuming the measurements were normally distributed with the mean ¯ t and variance σ calculated above, ﬁnd the expected number E k in each bin. Calculate χ 2 . Is there any reason to doubt that the measurements are normally distributed? (c) How many degrees of freedom are there in this problem? 1...
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 Spring '10
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 Normal Distribution, Probability theory, Cauchy distribution, ek, 18th century engineer

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