Biometry Assignment #1 (29 Points - Due Friday, January 24th) 1. An aquatic biologist would like to take n = 25 random rake samples of the aquatic vegetation growing in the portion of Lake Winona shown below. How would you recommend this be done? Use the diagram above in explaining your sampling plan. (4 pts.) 2. Which technique for gathering data (observational study or experiment) do you think was used in the following studies? Explain. (2 pts. each) (a) The Colorado Division of Wildlife netted and released 774 fish at Quincy Reservoir. There were 219 perch, 315 bluegill, 83 pike, and 157 rainbow trout. (b) The Colorado Division of Wildlife caught 41 bighorn sheep on Mt. Evans and gave each one an injection to prevent heartworm. A year later, 38 of these sheep did not have heartworm, while the other three did. (c) The Colorado Division of Wildlife imposed special fishing regulations on the Deckers section of the South Platte River. All trout under 15 inches had to be released. A study of trout before and after the regulation went into effect showed that the average length of a trout increased by 4.2 inches after the new regulation. (d) An ecology class used binoculars to watch 23 turtles at Lowell Ponds. It was found that 18 were box turtles and 5 were snapping turtles. 1 3. An agricultural study is comparing the harvest volume of two types of barley. The site for the experiment is bordered by a river. The field is divided into eight plots of approximately the same size. The experiment calls for the plots to be blocked into four plots per block. Then, two plots of each block will be randomly assigned to one of the two barley types. Two blocking schemes are shown below, with one block indicated by the white region and the other by the gray region. Which blocking scheme, A or B, would be better? Explain. (3 pts.) 4. How would you use a completely randomized experiment in each of the following settings? Is a placebo being used or not? Be specific and give details. (3 pts. each) (a) A veterinarian wants to test a strain of antibiotic on calves to determine their resistance to common infection. In a pasture are 22 newborn calves. There is enough vaccine for 10 calves. However, blood tests to determine resistance to infection can be done on all calves. (b) A skin patch contains a new drug to help people quit smoking. A group of 75 cigarette smokers have volunteered as subjects to test the new skin patch. For one month, 40 of the volunteers receive skin patches with the new drug. The other volunteers receive skin patches with no drugs. At the end of two months, each subject is surveyed regarding his or her current smoking habits. 5. Thinking ahead… Suppose we wish to determine if the typical mercury level found in the tissues of walleyes in Lake Pepin exceeds .25 parts per million (ppm). To help make this determination suppose we randomly sample n = 200 walleyes and find that the average mercury level found in these fish is .33 ppm. Can we conclude that the typical mercury level exceeds .25 ppm on the basis of this result? Give your answer and carefully explain your reasoning. Note: You can assume this sampling was done “perfectly”, in other words your reasoning should not be attacking the sampling scheme used. (4 pts.) 2 6. Does the study discussed below prove that heavy coffee drinking causes increased chance of death in adults under 55 years of age? Discuss some plausible reasons why researchers would see this increased risk of death associated with heavy coffee consumption. (4 pts.) Heavy coffee consumption linked to higher death risk Cathy Payne, USA TODAY8:30 a.m. EDT August 16, 2013 Drinking more than 28 cups of coffee a week may be harmful for people younger than 55, according to a study. http://www.usatoday.com/story/news/nation/2013/08/15/coffee-consumptiondeath-risk/2655855/ (Photo: Todd Plitt, USA TODAY) STORY HIGHLIGHTS Caffeine is a stimulant with potential adverse effects Coffee is a source of antioxidants Studies about coffee have yielded mixed results The debate over coffee's health risks continues to brew. A new study, out Thursday, finds that heavy coffee consumption is associated with a higher death risk in men and women younger than 55. In the study published online in the journal Mayo Clinic Proceedings, men younger than 55 who drank more than 28 cups of coffee a week (four cups a day) were 56% more likely to have died from any cause. Women in that age range had a twofold greater risk of dying than other women. The study looked at 43,727 men and women ages 20-87 from 1971 to 2002. "From our study, it seems safe to drink one to three cups of coffee a day," says the study's second co-author Xuemei Sui. "Drinking more than four cups of coffee 3 a day may endanger health," says Sui, assistant professor of exercise science with theArnold School of Public Health at the University of South Carolina in Columbia. She defines a cup of coffee as 6 to 8 ounces. The study did not find a higher death risk for adults 55 and older. Sui says there may be a bias — the research may not include unhealthy older people because they might have already died. The reasons for the higher death risk among younger adults are not clear since experts through the years have found both health benefits and problems associated with coffee. Sui says the caffeine in coffee can elevate heart rate as well as raise blood pressure and blood sugar levels. However, coffee is a major source of antioxidants, she says. Sui says the study didn't find a significant association between coffee consumption and heart disease death. Further research is needed to look at any connection between coffee and cancer, she says. Gregg Fonarow, co-chief of clinical cardiology at the David Geffen School of Medicine at UCLA, says, "Differences in other dietary factors, marital status and other socioeconomic factors that were not adjusted for in this study may account for some or all of these observations." Fonarow, who was not involved in this research, says observational studies that survey people about their coffee intake and tie that to how many died from any cause have yielded mixed results. Consider a 2012 study that found that coffee drinkers ages 50-71 had a lower risk of death than their peers who did not consume coffee. In that study, researchers from the National Cancer Institute, part of the National Institutes of Health, and AARP found that the more coffee consumed, the more a person's death risk declined. Joseph DeRupo, a spokesman for the National Coffee Association of USA, says the new study "presents findings that are out of step with prevailing science as well as with widely accepted research methods." Because coffee still stirs debate, Sui says more research is needed. In the meantime, people should watch their coffee intake, she says. "Avoid excessive coffee drinking." 4