[3](20) Thirty students in an experimental psychology class use various techniques to train a rat to move through a maze. At the end of the course, each student's rat is timed through the maze, with the following results (in minutes): 1.97 0.60 4.02 3.20 1.15 6.06 4.44 2.02 3.37 3.65 1.74 2.75 3.81 9.70 8.29 5.63 5.21 4.55 7.60 3.16 3.77 5.36 1.06 1.71 2.47 4.25 1.93 5.15 2.03 1.65 a) Compute the following numerical measurements, correct to the second decimal place: Quantity Measurement Mean (x) Median (x) Mode (m) Sample Standard Deviation (s) Sample Variance () Population Standard Deviation (@) Population Variance (a?) Max (Xmax) Min (Xmin) Midrange (MR) Range ( R) Coefficient of Variation (CV)b) Describe the shape of the distribution of the length of time an individual rat took through the maze. Explain why you would think that the shape you describe happens with this type of data. c) Is there any data point that should be considered as an outlier for this data set? Explain why. d) What percentage of the data is actually contained within two standard deviations of the mean? e) Would you think that the "usual" Range Rule of Thumb is applicable to these data? Explain. () Would the Empirical Rule be suitable for describing these n = 30 measurements? Explain why or why not