N SD 2. Provide a printout in which you find the Variable Mean mean and standard deviation for the 75 Milage 75 43347 29464 sizes/mileages of your data set. Also, list your size/mileage for your 10th and your 50th observation below. For all of question 2, treat these values as the mean and standard deviation of the population when answering questions. Size/Mileage for Observation #10: 26000 Size/Mileage for Observation #50: 6000 a. For this problem, assume that the distribution for all sizes/mileages in the population are normally distributed (may not really be true). Find the proportion of all sizes/mileages that would fall between the sizes/mileages of your 10th and 50th observations. To receive full credit, you should incluye pictures of the normal curve (labeled with both x and z- values) with the pertines probabilities shaded in the picture. N b. Assuming the distribution of the sizes/mileages are normal, use the mean and standard deviation you found above to locate the 93.7th percentile in the size/mileage distribution. To receive full credit, you show as much work as possible. c. Suppose you take a future sample of 100 sizes/mileages from your population. Describe the sampling distribution for the x-bar value that you would find. (hint: there should be three parts to this answer) d. Use the sampling distribution to find the probability that the sample mean from that future sample would be greater than the size/mileage for Observation #50. To receive full credit, you should include pictures of the normal curve (labeled with both x-bar and z-values) with the pertinent probabilities shaded in the picture. *