Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of u= 23.4 in. and a standard deviation of o = 1.2 in. These data are often used in the design of different seats including aircraft seats, train seats, theater seats, and classroom seats. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater)<0.01 and a value is significantly low if P(x or less)<0.01. Find the back-to-knee lengths separating significant values from those are not significant. Using these criteria, is a back-to-knee length of 25.8 in. significantly high?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.5: Other Types Of Equations
Problem 45E
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Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of
u= 23.4 in. and a standard deviation of o = 1.2 in. These data are often used in the design of different seats
including aircraft seats, train seats, theater seats, and classroom seats. Instead of using 0.05 for identifying
significant values, use the criteria that a value x is significantly high if P(x or greater)<0.01 and a value is
significantly low if P(x or less)<0.01. Find the back-to-knee lengths separating significant values from those
are not significant. Using these criteria, is a back-to-knee length of 25.8 in. significantly high?
Transcribed Image Text:Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of u= 23.4 in. and a standard deviation of o = 1.2 in. These data are often used in the design of different seats including aircraft seats, train seats, theater seats, and classroom seats. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater)<0.01 and a value is significantly low if P(x or less)<0.01. Find the back-to-knee lengths separating significant values from those are not significant. Using these criteria, is a back-to-knee length of 25.8 in. significantly high?
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