1. Sangeeta is an ornithologist studying Rockhopper penguins. She was able to randomly select 3 penguins from each of four distinct breeding grounds on the Falkland Islands. Below are their weights in pounds. Weight (lb) 7.8 5.4 6.2 8.3 9.2 7.1 10.6 6.5 7.9 5.9 7.3 7.7 (a) What sampling method did Sangeeta use to collect her data? (b) What is the z-score for the penguin that weighs 5.9 lb? Explain its meaning in the context of the data. (c) Assume the mean weight of all Rockhopper penguins is 5 lb with a standard deviation of 1.6 lb. What is the smallest interval that guarantees at least 45% of all weights