2. Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of u = = 23.5 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 e or greater) s 0.01 and a value is significantly low if P(x or less) < 0.01. Find the back-to-knee Tengths separating significant values from those that are not significant. Using these criteria, is a back-to- knee length of 25.6 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 significant, and values outside that range are considered significant. (Round to one decimal place as needed.) in. are not Using these criteria, is a back-to-knee length of 25.6 in. significantly high? Why or why not? becauseve/ues es outside of The range are considered. values significan 23.5 25.6 -23.5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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2. Suppose that the sitting back-to-knee length for a group of adults has a normal distribution
with a mean of u =
= 23.5 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
e or greater) s 0.01 and a value is significantly low if P(x or less) < 0.01. Find the back-to-knee
Tengths separating significant values from those that are not significant. Using these criteria, is a back-to-
knee length of 25.6 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
significant, and values outside that range are considered significant. (Round to one decimal place as
needed.)
in. are not
Using these criteria, is a back-to-knee length of 25.6 in. significantly high? Why or why not?
becauseve/ues
es
outside of The range
are considered.
values
significan
23.5
25.6
-23.5
Transcribed Image Text:2. Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of u = = 23.5 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 e or greater) s 0.01 and a value is significantly low if P(x or less) < 0.01. Find the back-to-knee Tengths separating significant values from those that are not significant. Using these criteria, is a back-to- knee length of 25.6 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 significant, and values outside that range are considered significant. (Round to one decimal place as needed.) in. are not Using these criteria, is a back-to-knee length of 25.6 in. significantly high? Why or why not? becauseve/ues es outside of The range are considered. values significan 23.5 25.6 -23.5
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