Lab Module 1: Determining Outliers Question 1: Height is a quantitative variable that tends to be nearly normally dis- tributed. Suppose the distribution of heights among males is normally distributed with mean parameter (ux) equal to 68 inches and standard deviation parameter (x) equal to 3.5 inches. Who is the Outlier? Shaq and Kevin Hart could not be more different with respect to their height! Shaq's height is seven foot one inch, or 85 inches. Kevin Hart's height is five foot four inches, or 64 inches. (a) Compute a Z-score for Shaq's height with respect to the population distribution of male heights. (b) Compute a Z-score for Kevin Hart's height with respect to the population distribution of male heights. (c) For normally distributed data, a Z-score of 0.6745 corresponds to the upper quartile (Qu) and a Z-score of -0.6745 corresponds to the lower quartile (QL). Determine the minimum Z-score magnitude that would correspond with an outlier based on the 1.5 x IQR criteria. Lab Module 1 - Worksheet SAVANNAH math labs (d) Based on your Z-score calculations, determine whether Kevin Hart, Shaq, both or neither are outliers with respect to height. Base your answer on the 1.5x IQR criteria for outliers. (e) Why can't you simply look at the picture and determine who is an outlier? Why must you know information about the population (i.e. the parameters x and x) to classify outliers? Explain.