Gulf Turtles - Marine biologists study the mortality and growth rate of sea turtles to learn about changes in their habi

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Gulf Turtles Marine Biologists Study The Mortality And Growth Rate Of Sea Turtles To Learn About Changes In Their Habi 1 (105.92 KiB) Viewed 26 times

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, marine biologist measured the straight carapace length (SCL) of each turtle from a random sample of 31 green turtles (species Chelonia mydas) from the Eastern US Gulf of Mexico region and from a random sample of 39 green turtles from the Western US Gulf of Mexico region. The data is summarized the table below. Region Population 1: Eastern Population 2: Western Mean SCL 47.4 cm 39.9 cm SD of SCL 14.3 cm 15.7 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 2-test for a population proportion O B. Two sample t-test for the difference in independent means O C. One sample t-test for a population mean OD. Chi-square test of independence O E. Chi-square goodness of fit test 2. Which set of hypotheses expresses the research question using appropriate notation? O A. HM = ple vs. HA:M1 <H2

OB. II./ = Hy vs. IIA H > H2 OC. H : 141 = 47.4 vs. HA: 112 = 39.9 OD HO:M1 = hy vs. HAM1 u2 3. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. A. The two sample groups must be independent of each other. OB. There must be a linear relationship between Eastern and Western green turtle SCL lengths. C. There must be at least 3 levels of the categorical variable. OD. Observations within each sample must be independent. D E. There should be at least 10 expected successes and 10 expected failures in each sample group. DF. The data distribution for SCL for each population of turtles must be normally distributed or each sample size must be larger than 30. 4. Assume the conditions have been met and calculate the appropriate test statistic. ? VE 5. Calculate the p-value using 66.692782 degrees of freedom. P-value = 6. Use the data to construct a 99% confidence interval for the true difference, M uy using 66.692782 degrees of freedom.