Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)
Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)
6th Edition
ISBN: 9780137549375
Author: Richard Larsen, Morris Marx
Publisher: PEARSON+
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Chapter 7.5, Problem 9Q

How long sporting events last is quite variable. This variability can cause problems for TV broadcasters, since the amount of commercials and commentator blather varies with the length of the event. As an example of this variability, the table below gives the lengths for a random sample of middle-round contests at the 2008 Wimbledon Championships in women’s tennis.

Match Length (minutes)
Cirstea-Kuznetsova 73
Srebotnik-Meusburger 76
De Los Rios-V. Williams 59
Kanepi-Mauresmo 104
Garbin-Szavay 114
Bondarenko-Lisicki 106
Vaidisova-Bremond 79
Groenefeld-Moore 74
Govortsova-Sugiyama 142
Zheng-Jankovic 129
Perebiynis-Bammer 95
Bondarenko-V. Williams 56
Coin-Mauresmo 84
Petrova-Pennetta 142
Wozniacki-Jankovic 106
Groenefeld-Safina 75

Data from: 2008.usopen.org/en US/scores/cmatch/index.html?promo=t.

  • (a) Assume that match lengths are normally distributed. Use Theorem 7.5.1 to construct a 95% confidence interval for the standard deviation of match lengths.

  • (b) Use these same data to construct two one-sided 95% confidence intervals for σ .

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Chapter 7 Solutions

Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)

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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