Question

Suppose that the sitting​ back-to-knee length for a group of adults has a normal distribution with a mean of μ=24.1in. and a standard deviation σ=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)less than or equals≤0.01 and a value is significantly low if​ P(x or ​less)less than or equals≤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 26.3 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.

Answer 1