1. The following two grouped frequency distributions represent the times, over a one-week period, that patients had to wait before seeing a doctor in the Accident and Emergency department of two hospitals. Hospital A waiting Times Frequency of Patients Hospital B waiting Times Frequency of Patients (Minutes) (Minutes) 6-10 2 6-10 4 11-15 10 11-15 17 16-20 25 16-20 35 21-25 37 21-25 27 26-30 26 26-30 20 31-35 20 31-35 17 36-40 18 36-40 9 41-45 12 41-45 6 46-50 10 46-50 Total 160 Total 140 a) Determine the mean and standard deviation of waiting times for each hospital; b) Determine the coefficient of variation for each hospital's waiting times; c) Determine the coefficient of skewness for each hospital's waiting times; d) With reference to parts (a), (b) and (c) discuss the differences in waiting times between the two hospitals. [ 25 marks ] 2. The table shows the body mass index (BMI) X, and the systolic blood pressure (SBP), Y in the mmttg, for each of a random sample of 10 men, aged between 35 years and 40 years, from a particular population. X 13 23 29 35 17 34 25 20 31 27 Y 103 115 124 126 108 120 113 117 118 119 a) Calculate the coefficient of correlation of the distribution. Interpret your results. b) Compute the coefficient of determination and interpret your results. c) Find the Simple regression line of Y on X. d) Use your equation to estimate the SBP of a man from this population who is aged 38 years and who has a BMI of 30. [ 15 marks ]