A group of Birgham Young University Idaho students (Matthew Herring, Nathan Spencer, Mark Walker, and Mark Steiner) collected data in November 2005 on the speed of vehicles traveling through a construction zone on a state highway, where the posted speed was 25 mph. The recorded speed of 14 randomly selected vehicles is given below: (20, 24, 27, 28, 29, 30, 32, 33, 34, 36, 38, 39, 40, 40).
A. Find the z-score for a car driving 20 mph in this construction zone. It is an outlier (assume the data is bell shaped, so dont actually test it with pearsons index).
B. Find the z-score for a car driving 45 mph in this construction zone. It it an outlier(assume the data is bell shaped, so dont actually t est it with pearsons index).
C. Determine the quartiles.
D. Compute the interquartile range, IQR.
E. Determine the lower and upper fences. Are there any outliers, according to this criterion?