Problem 3. 8 points) Gulf Turtles ~ Marine biologists study the mortality and growth rate of sea turtles to learn about changes in their habitats and are often interested in regional differences in turtle populations. In the US, the National Oceanic and Atmospheric Administration regularly collects data on the variety and size of turtles along the US Gulf of Mexico. As part of a research project, a marine biologist measured the straight carapace length (SCL) of each turtle from a random sample of 35 green turtles (species Chelonis mydas) from the Eastern US Gulf of Mexico region and from a random sample of 36 green turtles from the Western US Gulf of Mexico region. The data is summarized in the table below. Region Mean SCL | SD of SCL Population 1: Eastern 46.4 cm 14 cm Population 2: Western 39.1 cm 16.1 cm The biologist wants to know if there is a difference in the mean SCL in the population of green turtles in the two regions. Round all calculated values in this problem to 4 decimal places. 1. Which type of inference procedure should be used? O A. One sample t-test for a population mean O B. Chi-square test of independence O C. Chi-square goodness of fit test O D. One sample z-test for a population proportion O E. Two sample t-test for the difference in independent means 2. Which set of hypotheses expresses the research question using appropriate notation? O A. Ho: #1 = #2 VS. HA: #1 > /2 O B. Ho: #1 = /2 VS. HA: 1