40) Suppose that the sitting​ back-to-knee length for a group of adults has a normal distribution with a mean of μ=23.7 in. and a standard deviation of σ=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)≤0.01and 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? 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.)

MATLAB: An Introduction with Applications
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40) Suppose that the sitting​ back-to-knee length for a group of adults has a normal distribution with a mean of μ=23.7 in. and a standard deviation of σ=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)≤0.01and 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?

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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