Recall: The amount of time (in minutes) X that a student spends on one chapter of homework, with a population mean of 100 minutes and population standard deviation of 100 mimtes. For problems #6-10, suppose you take a sample n = 14-4. 6.) (4 points} Describe I? in words, in the context of the problem. State the distribution of f . 7.) (4 points) Calculate the probability that the average amount of time spent on homework among the 144 students is between 97 and 102 minutes. Show calculator commands. (Round to 3 d.p.) 8.) (3 points) Calculate the 55l percentile for the average amount of time spent on homework among the 144 students. Show calculator commands. Display units. (Round to 3 d.p.) 9.) (3 points) Describe 2X in words, in the context of the problem. State the distribution of XX . 10.) (3 points) Calculate the interval for the middle 65% for the total amount of time spent on homework among the 144 students. Show calculator commands. Display units. (Round to 3 d.p.) 11.) (3 points) Calculate the probability that the total amount of time spent on homework among the 144 students is more than 14,300 minutes