Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of µ = 23.8 in. and a standard deviation of o= 1.1 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 that are not significant. Using these criteria, is a back-to-knee length of 25.9 in. significantly high?

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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 µ = 23.8 in.
and a standard deviation of o= 1.1 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 that are not significant. Using these criteria, is a
back-to-knee length of 25.9 in. significantly high?
A back-to-knee length of 25.9 in.
considered significant.
%
5
6
CAN
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 25.9 in. significantly high?
significantly high because it is
&
7
8
O
MANHAT
(
9
2018
P
X
SENDO
the range of values that are not
0
Transcribed Image Text:Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of µ = 23.8 in. and a standard deviation of o= 1.1 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 that are not significant. Using these criteria, is a back-to-knee length of 25.9 in. significantly high? A back-to-knee length of 25.9 in. considered significant. % 5 6 CAN 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 25.9 in. significantly high? significantly high because it is & 7 8 O MANHAT ( 9 2018 P X SENDO the range of values that are not 0
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