An Introduction to Mathematical Statistics and Its Applications (6th Edition)
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. Marx
Publisher: PEARSON
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Chapter 7.5, Problem 12Q
  • (a) Use the asymptotic normality of chi square random variables (see Question 7.3.6) to derive large-sample confidence interval formulas for σ and σ 2 .

  • (b) Use your answer to part (a) to construct an approximate 95% confidence interval for the standard deviation of estimated potassium-argon ages based on the nineteen y i ’s in Table 7.5.1. How does this confidence interval compare with the one in Case Study 7.5.1?

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Chapter 7 Solutions

An Introduction to Mathematical Statistics and Its Applications (6th Edition)

Ch. 7.3 - If the random variable F has an F distribution...Ch. 7.3 - Prob. 12QCh. 7.3 - Show that as n, the pdf of a Student t random...Ch. 7.3 - Prob. 14QCh. 7.3 - Prob. 15QCh. 7.4 - Use Appendix Table A.2 to find the following...Ch. 7.4 - What values of x satisfy the following equations?...Ch. 7.4 - Which of the following differences is larger?...Ch. 7.4 - A random sample of size n=9 is drawn from a normal...Ch. 7.4 - Suppose a random sample of size n=11 is drawn from...Ch. 7.4 - Let Y and S denote the sample mean and sample...Ch. 7.4 - Cell phones emit radio frequency energy that is...Ch. 7.4 - The following table lists the typical cost of...Ch. 7.4 - Creativity, as any number of studies have shown,...Ch. 7.4 - How long does it take to fly from Atlanta to New...Ch. 7.4 - In a nongeriatric population, platelet counts...Ch. 7.4 - If a normally distributed sample of size n=16...Ch. 7.4 - Prob. 13QCh. 7.4 - Revenues reported last week from nine boutiques...Ch. 7.4 - What confidence is associated with each of the...Ch. 7.4 - The weather station at Dismal Swamp, California,...Ch. 7.4 - Recall the Bacillus subtilis data in Question...Ch. 7.4 - Recall Case Study 5.3.1. Assess the credibility of...Ch. 7.4 - MBAs R Us advertises that its program increases a...Ch. 7.4 - In addition to the Shoshoni data of Case Study...Ch. 7.4 - A manufacturer of pipe for laying underground...Ch. 7.4 - In athletic contests, a wide-spread conviction...Ch. 7.4 - Prob. 23QCh. 7.4 - Prob. 24QCh. 7.4 - Prob. 25QCh. 7.4 - Suppose that random samples of size n are drawn...Ch. 7.4 - On which of the following sets of data would you...Ch. 7.5 - Use Appendix Table A.3 to find the following...Ch. 7.5 - Evaluate the following probabilities: (a)...Ch. 7.5 - Find the value y that satisfies each of the...Ch. 7.5 - For what value of n is each of the following...Ch. 7.5 - For df values beyond the range of Appendix Table...Ch. 7.5 - Let Y1,Y2,...,Yn be a random sample of size n from...Ch. 7.5 - Start with the fact that (n1)S2/2 has a chi square...Ch. 7.5 - A random sample of size n=19 is drawn from a...Ch. 7.5 - How long sporting events last is quite variable....Ch. 7.5 - How much interest certificates of deposit (CDs)...Ch. 7.5 - Prob. 11QCh. 7.5 - (a) Use the asymptotic normality of chi square...Ch. 7.5 - If a 90% confidence interval for 2 is reported to...Ch. 7.5 - Prob. 14QCh. 7.5 - Prob. 15QCh. 7.5 - When working properly, the amounts of cement that...Ch. 7.5 - A stock analyst claims to have devised a...
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