2. A random sample of 25 Division I-A Football teams is selected and the points they score during the first week of the 2009 season are recorded. The data are given below. 3 14 24 20 17 8 13 25 14 20 33 17 3 56 10 35 0 37 14 3 59 49 3 24 16 a) Answer the questions, Who? and What? for these data. b) Make a stemand-leaf display of the scores. c) Using the stem-andleaf display, describe the distribution of scores. Make sure you mention the shape, center, spread and any outliers or other interesting characteristics of the distribution. d) Calculate the sample mean score. e) Calculate the sample median score. f) Calculate the ve-number summary for these data. g) Given the value 2 (y y)2 = 6,377.44, calculate the sample standard deviation for these data. h) Which do you think provides a more informative summary of these data; a five number summary or the sample mean and sample standard deviation? Briey explain your answer. During week twelve of the 2009 season the points scored by a different random sample of 30 Division I-A Football teams was also recorded. 0n the next page is JMP output for the distribution of scores for the week twelve. i) Describe the distribution of scores for the week twelve. Make sure you mention the shape, center, spread and any outliers or other interesting characteristics of the distribution. j) Give the value of the sample mean score. Give the value of the sample median score. What does the relationship between these two values indicate about the shape of the distribution? k) Give the value of the sample standard deviation of the scores. 1) Construct side-byside box plots (use a common scale) and use these to compare the distribution of the rst week's scores to week twelve's scores