5. You work at NASA and are in charge of designing a new shelving system in the Internationa Space Station. The functional overhead reach for the 5th percentile of astronauts is 74 inches ar the 95th percentile is 86.9 inches Assume the mean is 80 inches and the standard deviation is 3.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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 Assume the mean is 80 inches and the standard deviation is 3.4
inches.
a. Which percentile would you use to design the new shelving system?
I would use the 95th percentile because it is the closest one to the value.
b. Using your answer from (a), what should the height of the tallest shelf be?
Styles
O
Transcribed Image Text:Saved to this PC ✓ Mailings Review View Help Poi・・行く EET A 三、田、 ly Search Paragraph ity: Good to go Ri ● AaBbCcDd AaBbCcDd AaBbC AaBbCct A Normal 1 No Spac... Heading 1 Heading 2 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 Assume the mean is 80 inches and the standard deviation is 3.4 inches. a. Which percentile would you use to design the new shelving system? I would use the 95th percentile because it is the closest one to the value. b. Using your answer from (a), what should the height of the tallest shelf be? Styles O
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