In a study, we see that plastic microparticles are contaminating the world’s shorelines and that much of the pollution appears to come from fibers from washing polyester clothes. The same study also took samples from ocean beaches. Five samples were taken from each of 18 different shorelines worldwide, for a total of 90 samples of size 250 mL. The mean number of plastic microparticles found per 250 mL of sediment was 18.3 with a standard deviation of 8.2.           (a) Find a 95% confidence interval for the mean number of polyester microfibers per 250 mL of beach sediment. Round your answers to two decimal places. The 95% confidence interval is to .           (b) What is the margin of error? Round your answer to two decimal places. margin of error =   the absolute tolerance is +/-0.05         (c) If we want a margin of error of only ±0.5 with 95% confidence, what sample size is needed? Round your answer up to the nearest integer. sample size =   the absolute tolerance is +/-3

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