Exercise 5.6

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1. 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 z_N, maybe...

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