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We sample n = 100 observations from a population distribution that might be normal. The sample mean and sample standard deviation are x = 0.225

We sample n = 100 observations from a population distribution that might be normal. The sample mean and sample standard deviation are x = 0.225 and sx = 1.282, respectively. Use a Pearson's 2 test and the following discretization to test if the data are indeed normally distributed or not: Interval (, 1) [1, 0.5) [0.5, 0) [0, 0.5) [0.5, 1) [1, +) Observed frequency 25 10 18 24 10 13

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