D. What is the 99% confidence interval?

Problem 2: Background Information Plastic microparticles are contaminating the world's shorelines, and much of this pollution appears to come from fibers from washing polyester clothes. The worst offender appears to be fleece, and a recent study found that the mean number of polyester fibers discharged into wastewater from washing fleece was 290 fibers per liter of wastewater, with a standard deviation of 87.6 and a sample size of 120. We wish to construct a 99% confidence interval for the mean number of polyester microfibers per liter of wastewater when washing fleece. a) (2 points) Verify that the conditions are met to use a t-distribution to perform inference about the mean for this problem. b) (3 points) Given that t*= 2.618, calculate the margin of error for the 99% confidence interval for the mean number of polyester microfibers per liter of wastewater when washing fleece. Show your work and round your answer to 2 decimal places. c) (3 points) Calculate the 99% confidence interval for the mean number of polyester microfibers per liter of wastewater when washing fleece. Show your work and give your answer to 2 decimal places