The following observations are on stopping distance (ft)of a particular truck at 20 mph
Chapter 8, Problem 34(choose chapter or problem)
The following observations are on stopping distance (ft)of a particular truck at 20 mph under specified experimentalconditions (Experimental Measurement ofthe Stopping Performance of a Tractor-Semitrailerfrom Multiple Speeds, NHTSA, DOT HS 811 488,June 2011):32.1 30.6 31.4 30.4 31.0 31.9The cited report states that under these conditions, themaximum allowable stopping distance is 30. A normalprobability plot validates the assumption that stoppingdistance is normally distributed.a. Does the data suggest that true average stoppingdistance exceeds this maximum value? Test theappropriate hypotheses using a 5 .01.b. Determine the probability of a type II error when a 5.01, s 5 .65, and the actual value of m is 31. Repeatthis for m 5 32 (use either statistical software orTable A.17).c. Repeat (b) using s 5 .80 and compare to the resultsof (b).d. What sample size would be necessary to have a 5.01 and b 5 .10 when m 5 31 and s 5 .65?
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