Question
Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of mu equals 23.6 in. and a
Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of mu equals 23.6 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 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 25.8 in. significantly high? Find the back-to-knee lengths separating significant values from those that are not significant. Back-to-knee lengths greater than nothing in. and less than nothing in. are not significant, and values outside that range are considered significant.
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