M316 Statistics Final Review

M316 Statistics Final Review - M316 Assorted Problems...

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M316 Assorted Problems Schultz 1. In Colorado there is a large group of deer that spend their summer months in a region on one side of a highway and survive the winter months in a lower region on the other side. To determine if the highway has disturbed deer migration to the winter feeding area, the following data was gathered on a random sample of 10 wilderness districts in the winter feeding area. Row B represents the average January deer count in a 5-year period before the highway was built, and row A represents the average January deer count for a 5-year period after the highway was built. Wilderness District 1 2 3 4 5 6 7 8 9 10 B. Before Highway 10. 3 7.2 12. 9 5.8 17. 4 9.9 20. 5 16. 2 18. 9 11.6 A. After Highway 9.1 8.4 11. 6 5.8 16. 1 10. 2 22. 7 14. 3 21. 8 9.9 (a) The highway department claims that the Jan population has not changed. Test this against the claim that the Jan population has dropped. Use a 1% level of significance. Units in table are in 100’s of deer. (b) Find a 90% confidence interval for the mean difference. 2. Osteoporosis is a condition in which people experience decreased bone mass and an increase in the risk of bone fracture. Actonel is a drug that helps combat osteoporosis in postmenopausal women. In clinical trials, 1374 postmenopausal women were randomly divided into experimental and control groups. The subjects in the experimental group were administered 5 mg of Actonel, while the subjects in the control group were administered a placebo. The number of women who experienced a bone fracture over the course of a year was recorded. Of the 696 women in the experimental group, 27 experienced a bone fracture during the course of the year. Of the 678 women in the control group, 49 experienced a fracture during the course of the year. (a) Test the claim that a lower proportion of women in the experimental group
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M316 Statistics Final Review - M316 Assorted Problems...

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