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Unformatted text preview: the (population) mean µ, we select 100 balls at random. We measure
their diameters. That is, we have a random sample X1 , . . . , Xn , n = 100 (these are random
variable, we denote them with upper case letters). This is the experiment . Recall that
once a sample is drawn, the obtained values are denoted with lower case letters, x1 , . . . , xn .
To ﬁnd the mean µ, we compute the sample mean,
n
Xk
X = k=1
n
This is the statistics . We call statistics a function of the random sample. We might refer
to it also as an estimator of µ. See top of page 218 for more about these.
Recall (see Example §3.6.2) that...
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 Fall '08
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 Statistics

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