8 The following observations are on stopping distance ft of a particular truck at 20 mph under specified experi mental conditions Experimental Measurement of the Stopping Performance of a Tractor Semitrailer from Multiple Speeds NHTSA DOT HS 811 488 June 2011 321 30 4 310 31 9 The cited report states that under these conditions the maximum allowable stopping distance is 30 A normal probability plot validates the assumption that stopping distance is normally distributed a Does the data suggest that true average stopping distance exceeds this maximum value Test the appropriate hypotheses using a 01 b Determine the probability of a type II error when a 91 o 65 and the actual value of pi is 31 Repeat this for 32 use either statistical software or Table A 17 Repeat b using 80 and compare to the results c d What sample size would be necessary to have a 01 and 3 10 when 31 and 65