Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of u=22.7 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) s0.01 and a value is significantly low if P(x or less) s0.01. Find the back-to-knee lengths separating significant values from those that are not significant. Using these criteria, is a back-to-knee length of 25.0 in. significantly high? Find the back-to-knee lengths separating significant values from those that are not significant. Back-to-knee lengths greater than in. and less than in. are not significant, and values outside that range are considered significant. (Round to one decimal place as needed.) Using these criteria, is a back-to-knee length of 25.0 in. significantly high? A back-to-knee length of 25.0 in. V significantly high because it is V the range of values that are not considered significant.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 = 22.7 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)s0.01 and a value is significantly low if P(x or less)s0.01. Find the back-to-knee
lengths separating significant values from those that are not significant. Using these criteria, is a back-to-knee length of 25.0 in. significantly high?
Find the back-to-knee lengths separating significant values from those that are not significant.
Back-to-knee lengths greater than in. and less than
in. are not significant, and values outside that range are considered significant.
(Round to one decimal place as needed.)
Using these criteria, is a back-to-knee length of 25.0 in. significantly high?
A back-to-knee length of 25.0 in.
significantly high because it is
V the range of values that are not considered significant.
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 = 22.7 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)s0.01 and a value is significantly low if P(x or less)s0.01. Find the back-to-knee lengths separating significant values from those that are not significant. Using these criteria, is a back-to-knee length of 25.0 in. significantly high? Find the back-to-knee lengths separating significant values from those that are not significant. Back-to-knee lengths greater than in. and less than in. are not significant, and values outside that range are considered significant. (Round to one decimal place as needed.) Using these criteria, is a back-to-knee length of 25.0 in. significantly high? A back-to-knee length of 25.0 in. significantly high because it is V the range of values that are not considered significant.
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