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Mathematics, 17.07.2020 20:01 amaraea

In this problem, you will see how some estimators are more resilient to corruptions or mistakes in the data than others. Such estimators are referred to as robust . Researchers in a lab observe the following data set {0.5,1.8,−2.3,0.86,0.32}. In reality, these numbers are generated from the standard normal distribution N(0,1) , but as in most statistical problems, this distribution is unknown to the researchers. Their goal is to estimate the mean of this unknown distribution, and they will try two different statistics for doing so: the sample mean and the median. What is the sample mean X¯¯¯¯5 of the data set?

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