Essentials of Statistics (5th Edition)
5th Edition
ISBN: 9780321924599
Author: Mario F. Triola
Publisher: PEARSON
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Textbook Question
Chapter 9, Problem 3FDD
Critical Thinking: Ages of workers killed in the Triangle Factory fire Listed below are the ages (years) of the 146 employees who perished in the Triangle Factory fire that occurred on March 25, 1911 in Manhattan (based on data from the Kheel Center and the New York Times). One factor contributing to the large number of deaths is that almost all exits were locked so that employees could be checked for theft when they finished work at the end of the day. That fire revealed grossly poor and unsafe working conditions that led to changes in building codes and labor laws.
Analyzing the Results
- 1. First explore the combined male and female ages using suitable statistics and graphs. What is the
mean age? What are the minimum and maximum ages? What is the standard deviation of the ages? Are there any outliers? Describe the distribution of the ages. - 2. Examination of the two lists shows that relatively few men perished in the fire. Treat the ages as sample data and determine whether there is sufficient evidence to support the claim that among the workers who perish in such circumstances, the majority are women.
- 3. Construct a 95% confidence
interval estimate of the mean age of males and construct another 95% confidence interval estimate of the mean age of females. Compare the results. - 4. Treat the ages as sample data and determine whether there is sufficient evidence to support the claim that female workers have a mean age that is less than that of male workers.
- 5. Treat the ages as sample data and determine whether there is sufficient evidence to support the claim that ages of males and females have different standard deviations.
- 6. Based on the preceding results, identify any particularly notable features of the data.
Males
38 | 19 | 30 | 24 | 23 | 23 | 10 | 18 | 10 | 33 | 17 | 22 | 33 | 25 | 20 | 23 | 22 |
Females
24 | 16 | 25 | 31 | 22 | 18 | 19 | 22 | 16 | 23 | 17 | 15 | 21 | 18 | 17 | 17 | 17 | 31 | 20 | 36 |
18 | 25 | 30 | 16 | 25 | 25 | 21 | 19 | 17 | 18 | 20 | 18 | 26 | 26 | 16 | 18 | 18 | 17 | 22 | 17 |
20 | 22 | 18 | 20 | 16 | 25 | 18 | 40 | 21 | 18 | 19 | 19 | 18 | 18 | 19 | 16 | 19 | 16 | 16 | 21 |
33 | 21 | 14 | 22 | 19 | 10 | 23 | 10 | 18 | 21 | 39 | 20 | 14 | 27 | 22 | 15 | 10 | 16 | 16 | 19 |
18 | 21 | 18 | 10 | 10 | 20 | 18 | 43 | 16 | 20 | 18 | 30 | 21 | 22 | 18 | 21 | 35 | 22 | 21 | 22 |
21 | 22 | 17 | 24 | 25 | 20 | 18 | 32 | 20 | 21 | 19 | 24 | 17 | 18 | 30 | 18 | 16 | 22 | 22 | 17 |
22 | 20 | 15 | 20 | 17 | 21 | 21 | 18 | 17 |
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Throughout, A, B, (An, n≥ 1), and (Bn, n≥ 1) are subsets of 2.
1. Show that
AAB (ANB) U (BA) = (AUB) (AB),
Α' Δ Β = Α Δ Β,
{A₁ U A2} A {B₁ U B2) C (A1 A B₁}U{A2 A B2).
16. Show that, if X and Y are independent random variables, such that E|X|< ∞,
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and lim inf∞ Xn-
(d) If Xn(w) converges for (almost) every w as n→ ∞, then lim-
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→ Xn is a
Chapter 9 Solutions
Essentials of Statistics (5th Edition)
Ch. 9.2 - Verifying Requirements In the largest clinical...Ch. 9.2 - Verifying Requirements In the largest clinical...Ch. 9.2 - Hypotheses and Conclusions Refer to the hypothesis...Ch. 9.2 - Using Confidence Intervals a. Assume that we want...Ch. 9.2 - Interpreting Displays. In Exercises 5 and 6, use...Ch. 9.2 - Interpreting Displays. In Exercises 5 and 6, use...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Prob. 8BSCCh. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...
Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Prob. 12BSCCh. 9.2 - Tennis Challenges Since the Hawk-Eye instant...Ch. 9.2 - Police Gunfire In a study of police gunfire...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Marathon Finishers In a recent New York City...Ch. 9.2 - Overlap of Confidence Intervals In the article On...Ch. 9.2 - Equivalence of Hypothesis Test and Confidence...Ch. 9.2 - Determining Sample Size The sample size needed to...Ch. 9.3 - Independent and Dependent Samples Which of the...Ch. 9.3 - Interpreting Confidence Intervals If the heights...Ch. 9.3 - Interpreting Confidence Intervals What does the...Ch. 9.3 - Hypothesis Tests and Confidence Intervals a. In...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 6BSCCh. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 8BSCCh. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 10BSCCh. 9.3 - Prob. 11BSCCh. 9.3 - Prob. 12BSCCh. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 21BSCCh. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Prob. 25BBCh. 9.3 - Pooling. In Exercises 25 and 26, assume that the...Ch. 9.3 - Prob. 27BBCh. 9.3 - Prob. 28BBCh. 9.3 - Prob. 29BBCh. 9.4 - True Statements? For the methods of this section,...Ch. 9.4 - Prob. 2BSCCh. 9.4 - Prob. 3BSCCh. 9.4 - Confidence Intervals If we use the sample data in...Ch. 9.4 - Prob. 5BSCCh. 9.4 - Prob. 6BSCCh. 9.4 - Calculations with Paired Sample Data. In Exercises...Ch. 9.4 - Prob. 8BSCCh. 9.4 - Prob. 9BSCCh. 9.4 - Prob. 10BSCCh. 9.4 - Prob. 11BSCCh. 9.4 - Prob. 12BSCCh. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 516, use the listed paired sample...Ch. 9.4 - Prob. 16BSCCh. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - Prob. 21BSCCh. 9.4 - Prob. 22BSCCh. 9.4 - Prob. 23BSCCh. 9.4 - Prob. 24BSCCh. 9.4 - Prob. 25BBCh. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following survey...Ch. 9 - Listed below are the costs (in dollars) of...Ch. 9 - Prob. 6CQQCh. 9 - Prob. 7CQQCh. 9 - Prob. 8CQQCh. 9 - Prob. 9CQQCh. 9 - Prob. 10CQQCh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Airbags Save Lives In a study of the effectiveness...Ch. 9 - Are Flights Cheaper When Scheduled Earlier? Listed...Ch. 9 - Self-Reported and Measured Female Heights As part...Ch. 9 - Eyewitness Accuracy of Police Does stress affect...Ch. 9 - Prob. 7RECh. 9 - Effect of Blinding Among 13,200 submitted...Ch. 9 - Comparing Means The baseline characteristics of...Ch. 9 - Comparing Variation Use the sample data from...Ch. 9 - Heights of Mothers and Daughters. In Exercises...Ch. 9 - Prob. 2CRECh. 9 - Prob. 3CRECh. 9 - Heights of Mothers and Daughters. In Exercises...Ch. 9 - Prob. 5CRECh. 9 - Dark Survey In a survey of 1032 Americans,...Ch. 9 - Backup Generator The USA Today web site posted...Ch. 9 - Juke Survey Late-night talk show host David...Ch. 9 - Normal Distribution Based on the measurements in...Ch. 9 - Prob. 10CRECh. 9 - Prob. 1FDDCh. 9 - Critical Thinking: Ages of workers killed in the...Ch. 9 - Critical Thinking: Ages of workers killed in the...Ch. 9 - Prob. 4FDDCh. 9 - Prob. 5FDDCh. 9 - Prob. 6FDD
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