Suppose that the sittingback-to-knee length for a group of adults has a normal distribution with a mean
Question:
Suppose that the sittingback-to-knee length for a group of adults has a normal distribution with a mean of =23.2 in. and a standard deviation of =1.1 in. These data are often used in the design of differentseats, including aircraftseats, trainseats, theaterseats, and classroom seats. Instead of using 0.05 for identifying significantvalues, use the criteria that a value x is significantly high ifP(x or greater)0.01 and a value is significantly low ifP(x or less)0.01. Find theback-to-knee lengths separating significant values from those that are not significant. Using thesecriteria, is aback-to-knee length of 25.4 in. significantlyhigh?
Find theback-to-knee lengths separating significant values from those that are not significant.
Back-to-knee lengths greater than ---- in. and less than ----- in. are notsignificant, and values outside that range are considered significant.
(Round to one decimal place asneeded.)