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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 9.2 - Problem 2e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 9.2 - Problem 2e

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# The article"'Optimum Design of an A-pillar Trim with Rib

ISBN: 9780073401331 38

## Solution for problem 2E Chapter 9.2

Statistics for Engineers and Scientists | 4th Edition

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Problem 2E

The article “Optimum Design of an A-pillar Trim with Rib Structures for Occupant Head Protection” (H. Kim and S. Kang, Proceedings of the Institution of Mechanical Engineers, 2001:1161–1169) discusses a study in which several types of A-pillars were compared to determine which provided the greatest protection to occupants of automobiles during a collision. Following is a one-way ANOVA table, where the treatments are three levels of longitudinal spacing of the rib (the article also discussed two insignificant factors, which are omitted here). There were nine replicates at each level. The response is the head injury criterion (HIC), which is a unitless quantity that measures the impact energy absorption of the pillar.

The treatment means were

a. Can you conclude that the longitudinal spacing affects the absorption of impact energy?

b. Use the Tukey–Kramer method to determine which pairs of treatment means, if any, are different at the 5% level.

c. Use the Bonferroni method to determine which pairs of treatment means, if any, are different at the 5% level.

d. Which method is more powerful in this case, the Tukey–Kramer method or the Bonferroni method?

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What is economics Economics is concerned with the “impact of the unlimited human wants upon limited resources of nature” or “the way scarce resources are allocated among alternative uses to satisfy human wants” Simply put, economics is focused on dealing with the problem of scarcity. Basic Human Wants: goods & services, food, shelter, clothing, leisure time, Where Resources Include: land, air, water, labor, capital (scarce resources) A key ingredient is technology. Technology is our “know-how” or the “known means and methods available for combining scarce resources to provide goods and services” The Method of Economics -How do economists conduct economic science -How do economists contribute to knowledge in the field of economics They develop theories about the econo

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##### ISBN: 9780073401331

The answer to “?The article “Optimum Design of an A-pillar Trim with Rib Structures for Occupant Head Protection” (H. Kim and S. Kang, Proceedings of the Institution of Mechanical Engineers, 2001:1161–1169) discusses a study in which several types of A-pillars were compared to determine which provided the greatest protection to occupants of automobiles during a collision. Following is a one-way ANOVA table, where the treatments are three levels of longitudinal spacing of the rib (the article also discussed two insignificant factors, which are omitted here). There were nine replicates at each level. The response is the head injury criterion (HIC), which is a unitless quantity that measures the impact energy absorption of the pillar. The treatment means were a. Can you conclude that the longitudinal spacing affects the absorption of impact energy?b. Use the Tukey–Kramer method to determine which pairs of treatment means, if any, are different at the 5% level.c. Use the Bonferroni method to determine which pairs of treatment means, if any, are different at the 5% level.d. Which method is more powerful in this case, the Tukey–Kramer method or the Bonferroni method?” is broken down into a number of easy to follow steps, and 182 words. This full solution covers the following key subjects: method, means, determine, level, were. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 2E from chapter: 9.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Since the solution to 2E from 9.2 chapter was answered, more than 282 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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