Answered: 4. The mean seat width for a population…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1. What is anthropometry? 2. Give three examples of where anthropometry is used 3. Give an example of when you would use someone’s functional anthropometry 4. The mean seat width for a population is 15 inches and std deviation is 1 inch. Find the seat width to accommodate 95% of the population. Use the z table in the lecture slides. 5. You work at NASA and are in charge of designing a new shelving system in the International Space Station. The functional overhead reach for the 5th percentile of astronauts is 74 inches and the 95th percentile is 86.9 inches. The standard deviation is 3.4 inches. a. Which percentile would you use to design the new shelving system? b. Using your answer from (a), what should the height of the tallest shelf be?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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