Suppose that the sitting back to kneelength for a group of adults has a normal distribution with a mean of μ= 23.9 in. And a standard deviation of 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 ) is less than or equal to 0.01 and a value is

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Suppose that the sitting back to kneelength for a group of adults has a normal distribution with a mean of μ= 23.9 in. And a standard deviation of 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 ) is less than or equal to 0.01 and a value is significantly low if P (x or less) is less than or equal to 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 26.0 in. significantly high? Back to knee lengths greater than ____ in. and less than ____ in. are not significant, and values outside that range are considered significant.
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