A biologist needs to estimate the weight of all Spanish lobsters on the Treasure Coast To achieve this the biologist collects a random sample of 20 Spanish lobsters The weights of each lobster in the sample are given below Assume that the weights of all Spanish lobsters on the Treasure Coast are normally distributed 6 5 4 X 4 6 2 5 2 5 9 4 4 4 9 3 4 6 6 5 8 4 3 3 3 4 4 7 6 7 4 2 4 4 4 9 Determine the point estimate and the sample standard deviation s Round the solutions to four decimal places if necessary Using a 95 confidence level determine the margin of error E and a confidence interval for the average weight of a Spanish lobster on the Treasure Coast Report the confidence interval using interval notation Round solutions to two decimal places if necessary The margin of error is given by E A 95 confidence interval is given by