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3. The contents of 10 similar containers of a commercial soap are 10.2, 9.7, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3 and 9.8 liters. Assume that the soap content measurements follow an approximate norma distribution. A. What is a point estimate for B. What is the margin of error C. Find a 95% confidence interval the true mean soap content of using a 95% level of for the true mean soap all containers? (2 pts) confidence? (3 pts) content of all such containers (2 pts)2. Trends in fashion have signaled the emergence of green as the color of the century. It ranked third as the most preferred color among designers having a market share of 9.24%. Its popularity may be partially due to an increased interest in the environment. Besides, "Green symbolizes harmony and counteracts emotional stress." Due to financial constraints, only a random sample of 250 local designers were interviewed and asked about their preferred color. Results showed that 27 designers preferred green. A. Construct a 95% confidence B. Based on the results in (A), is C. How large a sample is needed if interval for the true proportion there sufficient evidence to you want to the estimate of the of local designers who prefer indicate that the proportion of true proportion of local designers green. (4 pts) local designers who prefer green who prefer green not to differ by is different from 9.24%? Justify more than 0.03 with 95% your answer. (2 pts) confidence? (3 pts)