3 A group of Brigham Young University Idaho students Matthew Herring Nathan Spencer Mark Walker and Mark Steiner collected data on the speed of vehicles traveling through a construction zone on a state highway where the posted speed was 25 mph The recorded speed in mph of 14 randomly selected vehicles is given below 20 24 27 28 29 30 32 33 34 36 38 39 40 40 a Iso known Which method should we use to find a confidence interval Verify the assumptions are satisfied for that method b Assuming speeds are approximately normally distributed with no outliers construct a 95 confidence interval for the true mean speed of drivers in this construction zone Interpret the interval C Construct a 99 confidence interval for the true mean speed of drivers in this construction zone Interpret the interval