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Lecture 22 Pre.pdf

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Michael Krashinsky

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Pre-Lecture Twenty Two ▯ Many times we are interested in a random variable. ▯ The best that we can hope to understand about a random variable is its probability distribution. ▯ Usually the probability distribution of a random variable is unknown to us and we use data to make educated guesses about it. { Sometimes we settle for making educated guesses about the mean of the probability distribution of the random variable. { Other times we assume that the probability distribution is normal and make educated guesses about the mean of the normal distribution. ▯ Either way, many times scientists and/or statisticians are preoccupied with making educated guesses about the mean of a probability distribution. ▯ The educated guesses typically fall into one of two categories: { Estimation and { Hypothesis testing. ▯ In the practice of hypothesis testing a claim is made about
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