Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The following frequency table summarizes the total amounts, in dollars, for 91 orders from a food truck during a certain day. m _ $15 up to but not including $20 $20 up to but not including $25 $25 up to but not including $30 _ (a-i) Use the data in the table to create a histogram showing the distribution of the amounts of the orders. (a-ii) Describe the shape of the distribution of amounts. (b) Identify a possible amount for the median of the distribution. Justify your answer. Kathy and her brother Clay recently ran in a local marathon. The distribution of finishing time for women was approximately normal with mean 259 minutes and standard deviation 32 minutes. The distribution of finishing time for men was approximately normal with mean 242 minutes and standard deviation 29 minutes. (a) The finishing time for Clay was 289 minutes. Calculate and interpret the standardized score for Clay's marathon time. Show your work. B I U X X2 3 C 0 / 10000 Word Limit (b) The finishing time for Kathy was 272 minutes. What proportion of women who ran the marathon had a finishing time less than Kathy's? Show your work. B I U X X2 3 6 2 WIN -(c) The standard deviation of finishing time is greater for women than for men. What does this indicate about the finishing times of the women who ran the marathon compared to the finishing times of the men who ran the marathon? B I U X X2 3 6 2 WN - E 0 / 10000 Word Limit