1. We derived our intuitive criterion for normality from the idea of “random error.” Let's use the Central Limit Theorem to show that random error ought to be normally distributed. (a) First, a preliminary fact. Use the Central Limit Theorem to show that the sum or total of the numbers in a large sample should be approximately normally distributed. (b) Show that random error is “like” the sum or total of allthe numbers in a large simple random sample. (c) Use the Central Limit Theorem to show that random error should be approximately normally distributed.2. Use the Central Limit Theorem to show that repeated measurements of the same object should be approximately normally distributed.
1. We derived our intuitive criterion for normality from the idea of “random error.” Let’s…
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