Please choose TWO questions to post answer using the discussion section on Moodle and submit with your Student ID or the marks will not be given to your answers.
Ergonomics is the science of making sure that human surroundings are adapted to human needs. How could statistics play a role in the following: 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.
Designing a drill press so its controls can be reached and its forces operated by an “average employee.”
Defining a doorway width so that a “typical” wheelchair can pass through without coming closer than 6 inches from either side.
Setting the width of a parking space to accommodate 95 percent of all vehicles at your local Walmart.
Choosing a font size so that a highway sign can be read in daylight at 100 meters by 95 percent of all drivers.
(a) Make your own empirical estimate of the probability that a DVD movie from your collection is longer than 2 hours (120 minutes). For the n DVDs in your sample, let f be the number that exceed 2 hours. Then P(A) = f/n.
(b) Do you feel your sample is large enough to have a reliable empirical probability?
(c) If you had chosen a different DVD collection (say, your best friend's), would you expect P(A) to be similar? Explain.
The durations (minutes) of 26 electric power outages in the community of Sonando Heights over the past five years are shown below. (a) Make a stem-and-leaf diagram. (b) Make a histogram. (c) Describe the shape of the distribution
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