BIOSTATISTICS

1) A biologist is comparing the top swimming speed of mosquito fishes from four different ponds selemzd at random. From each pond he samples 10 individuals and measures their top swimming speed in sh tanks in the lab. a) Help the scientist complete the ANOVA table to test for differences in the mean top swimming speed among the four populations. [1) Is this a Model I or Model H ANOVA? Source of variation Sum of Squares df Mean Squares Critical value Ponds 345. 7 Error Total 2) The volume ofthe right cordate section ofthe brain was estimated from CT scans for patients with obsessive-compulsive disorder, and a control group of healthy persons. The following data were obtained (volumes in mL). 0CD patients Control Mean 0. 34 0.45 SD 0.08 0.09 n 10 12 a. Conduct a hypothesis tests to compare the variance between the groups. b. Conduct a hypothesis test tn examine if there is a difference in mean Vulume of this part ufthe brain between the two groups. c. Calculate a 95% condence interval for the difference in the mean volume of this part Elf the brain between the two groups. d. Describe the typel and type II errors that could occur in this hypothesis-testing situation. 3) The "jumping seal\" lives in Coconut Island. Because this is an endangered species its population has been studied intensively. Scientists have determined that the body size of adult jumping seals has a parametric mean of1t83 m (measured from the tip of the snout to the tip of the tail) and a parametric standard deviation of 0.21 m Recently, a new population otjumping seals was discovered in a small island south of Coconut Island. A research team sampled 9 individuals from the new population and calculated a sample average of 2.11 m and a standard deviation of0.15 m. a. Conduct a hypothesis test to examine ifthe small island popu|ation has a different population mean for body size compared to the population in Coconut Island. b. Conduct a hypothesis test to examine if the two population have different variances