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?

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- 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