# Suppose that the sitting​ back-to-knee length for a group of adults has a normal distribution with...

###### Question:

Suppose that the sitting​ back-to-knee length for a group of adults has a normal distribution with a mean of mu equals 23.4 in. and a standard deviation of sigma equals 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)less than or equals0.01 and a value is significantly low if​ P(x or ​less)less than or equals0.01. 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 25.6 in. significantly​ high?

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