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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 mu equals =24. and a standard deviation...

Suppose that the sitting​ back-to-knee length for a group of adults has a normal distribution with a mean of mu equals

μ=24.9 in. and a standard deviation of sigma equals 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) ≤0.01 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

27.0 in. significantly​ high?

The​​ back-to-knee... View the full answer

• Find the​ back-to-knee lengths separating significant values from those that are not significant.
• paola1419
• Apr 01, 2018 at 7:22am
• At 0.01 level of significance, value of z = 2.575(two tailed), uisng the formula z = ﻿﻿​​​(x−μ)​​/ σ , putting values of μ, σ and z , x = 27.99 .This is the back-to-knee lengths separating significant values from those that are not significant
• ektasrivastava
• Apr 01, 2018 at 7:43am

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