11. A study investigated whether fast food consumption increases one's concentration of phthalates, an ingredient in plastics which has been linked to multiple health problems including hormone disruption. The study included 8877 people who recorded all the food they ate over a 24-hour period and then provided a urine sample. Two specific phthalate byproducts were measured (in ng/mL) in the urine: DEHP and DiNP. Test to see if there is a difference in mean concentration between people who have eaten fast food in the last 24 hours and those who haven't. The mean concentration of DINP in the 3095 participants who had eaten fast food was x, = 10.1 with SF = 38.9. The mean for the 5782 participants who had not eaten fast food was XF = 7.0 with SF = 22.8. Use a 5% significance level. Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places. a. Briefly state why this sample satisfies the CLT requirements. b. Find the test statistic. Show all work for full credit. Round to two decimal places. c. Find the p-value. Include a Statkey pic or provide a sketch that supports your answer. d. Give the formal decision for this test based on your p-value in part c. Provide a general conclusion for this test