STATS 211 UBishops Infestation of A Certain Species of Lobster Barnacles Problem

In a study of the infestation of a certain species of lobster by two types of barnacles, barnacle A and barnacle B, the carapace length of 30 randomly selected lobsters caught in the sea near Singapore are measured. A sample mean of 60.8 mm and standard deviation of 7.97 mm are found for lobsters infested with barnacle A. A mean of 64.2 mm is known from previous studies for lobsters infested by barnacle B. We wish to estimate the mean carapace length of the lobsters infested by barnacle A to see whether it is different than those infested by barnacle B, with 97% confidence.

1. Construct the appropriate confidence interval. 
2. What are three possible conclusions you could draw from the data
3. If you were to repeat this experiment, what could you change to improve   your experiment and validate or invalidate the possible conclusions reached in (b), and what effect would you expect each change to have on your analysis?