7.S.10. In Case Study 7.5.1, the 95% confidence interval was constructed for 1:1 rather than for a2 . In practice, is an experimenter more likely to focus on the sumdard deviation or on Lhe variance, or do you th.ink that both formulas in Theorem 7.5.1are likely to be used equally often? Explain.
7.5.11. (a) Use the asymptotic normality of chi square random variables (see Question 7.3.6) to derive large-sample confidence interval fonnuia.s for a and a2 .
(b) Use your answer to Part (a) to construct an appmrim.ate 95% confidence i n terval for the standard deviation of estimated potassium-argon ages based on the 19 y;s in Table 7.5.l. How does this confidence interval compare with the one in Case Study 7.5.l?
7.5.12. If a 90% confidence interval for a2 is reported t.o be (51.47, Uil.90), what is the value of the sample standard deviation?
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