Applied Statistics in Business and Economics
Applied Statistics in Business and Economics
5th Edition
ISBN: 9781259329050
Author: DOANE
Publisher: MCG
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Chapter 1, Problem 20CE

Ergonomics is the science of making sure that human surroundings are adapted to human needs. How could statistics play a role in the following:

  1. a. Choosing the height of an office chair so that 95 percent of the employees (male and female) will feel it is the “right height” for their legs to reach the floor comfortably.
  2. b. Designing a drill press so its controls can be reached and its forces operated by an “average employee.”
  3. c. Defining a doorway width so that a “typical” wheelchair can pass through without coming closer than 6 inches from either side.
  4. d. Setting the width of a parking space to accommodate 95 percent of all vehicles at your local Walmart.
  5. e. Choosing a font size so that a highway sign can be read in daylight at 100 meters by 95 percent of all drivers.
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Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are independent? (b) Demonstrate that if X and Y are independent, then it follows that E(XY) = E(X)E(Y); (e) Show by a counter example that the converse of (ii) is not necessarily true.
1. Let X and Y be random variables and suppose that A = F. Prove that Z XI(A)+YI(A) is a random variable.

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Applied Statistics in Business and Economics

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