
Elementary Statistics
12th Edition
ISBN: 9780321837936
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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Chapter 9 Solutions
Elementary Statistics
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