Suppose we are interested in estimating the population mean (μ) of the heights of all
the UW students based on a sample that consists of 100 observations.
a) Describe 100 random experiments involved in this research. What is the resulting
Sample Space for a particular random experiment?
b) We have 100 random variables and 100 data points that are associated with the
random experiments. Define 100 random variables involved, and then explain the
difference between the random variables and data.
c) The best estimator for the population mean is the sample mean, given by: ̄Y =1
100
∑100i=1 Yi. In what sense is ̄Y a random variable? What’s the difference between
the estimator and the estimate?
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