[20 points] Nutrient loadings come from wastewater treatment plants, agricultural and urban runoff, and natural sources. High concentrations of nutrients in lakes can lead to growth of large algal blooms. When the algae dies, it sinks to the bottom of the lake and decomposes, consuming dissolved oxygen in the lake's water. If the amount of oxygen consumed is high enough, the overall dissolved oxygen levels can drop below levels sustainable to fish and other aquatic species. It's a major concern not only to the fish, but also to the commercial and recreational fishing industries. Due to limited time and funding, only ten samples were collected on one day at locations randomly selected within Poisson Lake in Bernoulli City. The city's engineers use this data to estimate a confidence level of the mean nitrate concentration (nitrate is the limiting nutrient in Poisson Lake). The results of the ten samples (in mgN/L) are: 0.5, 0.7, 0.8, 1.3, 1.4, 1.6, 2.3, 6.8, 10.2, and 47.6. [20 points] a. Compute the confidence interval around the true mean/median using the most appropriate method