Problem 4. The following data are obtained from families in which both parents smoke. A number in the body of the table is the number of cigarettes smoked by father or mother, per day. Family 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Father 14 18 18 24 15 22 15 21 14 31 24 12 22 25 Mother 2 4 4 6 6 8 10 12 15 20 20 20 25 30 a. Perform an exploratory data analysis on the number of cigarettes smoked by fathers and mothers. b. Is the number of cigarettes smoked by the father independent of the number of cigarettes smoked by the mother? What measure are you using? c. Test the hypothesis that the correlation p between the number of cigarettes smoked by fathers and mothers is 0.5, at level 5%. (:1. Find a 95% condence interval for the additional number of cigarettes smoked by the father for every additional cigarette smoked by the mother. e. If the mother smokes 12 cigarettes a day, nd an interval that contains the average number of cigarettes smoked by the father with probability 0.9. f. Can the last interval be interpreted as containing the number of cigarettes smoked by the average dad? Explain