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 = 1.1 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) 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 25.7 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.)

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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 = 1.1 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 25.7 in. significantly high?
%3D
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.)
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 = 1.1 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 25.7 in. significantly high? %3D 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.)
A survey found that women's heights are normally distributed with mean 63.9 in and standard deviation 2.2 in. A branch of the military requires women's heights to be
between 58 in and 80 in.
a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too
short or too tall?
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height
requirements?
Click to view page 1 of the table. Click to view page 2 of the table.
a. The percentage of women who meet the height requirement is
%.
(Round to two decimal places as needed.)
Transcribed Image Text:A survey found that women's heights are normally distributed with mean 63.9 in and standard deviation 2.2 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? Click to view page 1 of the table. Click to view page 2 of the table. a. The percentage of women who meet the height requirement is %. (Round to two decimal places as needed.)
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