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Project 5: Evaluating Hypotheses
Exercise 5.6
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Explain why the confidence interval estimate given in
Equation (5.17) applies to estimating the quantity in
Equation (5.16), and not the quantity in Equation (5.14).
This is so because the set of available data in Eq. (5.16)
to take sub sets from is limited. The data available in
Eq. (5.14) include all possible examples from the distribution.
k in Eq. (5.17) is the number of sub sets taken from
the available distribution and is used to determine the
degrees of freedom in estimating the quantity in Eq. (5.16).
As k approaches infinity (or our available data becomes closer
to the full set), the value of
t N, k - 1 approaches that
of zN,
maybe...
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