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- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.A serious side effect of allergy medicines is that they cause drowsiness, which can cause many problems for the individuals taking them. In recent years, a new non-drowsy allergy medicine has been developed. The company that created the medicine claims to be the first, once-a-day, non-drowsy allergy medicine (call it Medicine A). An independent research group wanted to check on this claim by comparing medicine A with another allergy medicine not advertised as non-drowsy (call it Medicine B). A random sample of 3,193 allergy sufferers was selected and each individual was randomly assigned to take either Medicine A or Medicine B. From the Medicine A group, 114 of 1,604 reported drowsiness and from the Medicine B group, 155 of 1,589 reported drowsiness. Calculate and label the two sample proportions separately. Next, calculate the difference between these sample proportions by subtracting (Medicine A – Medicine B). Complete these calculations by hand, label each of them, and…A researcher wants to know whether people are more likely to contact their local government officials depending on whether people are Democrats, Republicans, or Independents. What method will the researcher use to evaluate this hypothesis?
- Kentville, a community of 10,000 people, resides next to a krypton mine, and there is a concern that the emission from the krypton smelter have resulted in adverse effects. Specifically, Kryptonosis seems to have killed 12 of Kentville’s inhabitants last year. A neighboring community, Lanesburg, has 25,000 inhabitants and is far enough from the smelter to not be affected by the emission. In Lanesburg, only three people last year died of Kryptonosis. Given that the number of deaths in Kentville and their causes last year were: Heart attack=7 Accidents=4 Kryptonosis=12 Other=6 What is the risk of dying of Kryptonosis in Kentville relative to non-contaminated locality?What is the risk of dying of Kryptonosis in Kentville relative to deaths due to other causes? How many times the chance of dying of Kryptonosis compared to dying of accidents ? How many times the chance of dying of Kryptonosis compared to Other causes?Some people seem to believe that you can fix anything with duct tape. Even so, many were skeptical when researchers announced that duct tape may be a more effective and less painful alternative than liquid nitrogen, which doctors routinely use to freeze warts. An article described a study conducted at a medical center. Patients with warts were randomly assigned to either the duct tape treatment or the more traditional freezing treatment. Those in the duct tape group wore duct tape over the wart for 6 days, then removed the tape, soaked the area in water, and used an emery board to scrape the area. This process was repeated for a maximum of 2 months or until the wart was gone. Data consistent with values in the article are summarized in the following table. Treatment n Number with WartSuccessfully Removed Liquid nitrogen freezing 103 60 Duct Tape 101 88 Do these data suggest that freezing is less successful than duct tape in removing warts? Test the relevant hypotheses using…Some people seem to believe that you can fix anything with duct tape. Even so, many were skeptical when researchers announced that duct tape may be a more effective and less painful alternative than liquid nitrogen, which doctors routinely use to freeze warts. An article described a study conducted at a medical center. Patients with warts were randomly assigned to either the duct tape treatment or the more traditional freezing treatment.Those in the duct tape group wore duct tape over the wart for 6 days, then removed the tape, soaked the area in water, and used an emery board to scrape the area. This process was repeated for a maximum of 2 months or until the wart was gone. Data consistent with values in the article are summarized in the following table. Treatment n Number with WartSuccessfully Removed Liquid nitrogen freezing 100 60 Duct Tape 103 88 Do these data suggest that freezing is less successful than duct tape in removing warts? Test the relevant hypotheses using…
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- A researcher wants to know why individuals in Community A have a higher rate of a rare form of cancer when compared to those living in Community B. To find out the reasons for the differences in cancer rates in these two communities, the investigator surveyed residents about their lifestyle, noted the types of businesses that were present in the community and searched medical records. The researcher found that the headquarters for the Toxico Chemical Plant is located in Community A, there is a higher rate of cigarette smoking in this community and residents tended to delay or skip going to the doctor for an annual checkup. In Community B, the largest employer was a department store and on average, residents did not smoke as much as residents from Community A. However, like individuals from Community A, Community B residents tended to delay or skip their annual checkup with their doctor. 1. What makes this a descriptive study?A scientist studied the spread of AIDS and concluded that 24% of people contracted the disease. There is a problem with this conclusion. What should the correct conclusion state?An apartment management company wants to explore the consequences of allowing residents to have multiple dogs. They would like to find out whether the number of dogs predicts resident ratings. They would also like to control for the year the apartment complex was built because that might also affect the resident rating. They have collected data on several of their existing complexes. For each complex, they have counted the number of dogs currently living in the complex, the year the complex was built, and the average rating for that particular complex. They would like to perform a multiple regression on these variables to predict resident ratings. See data below. These data are the same as the previous question. Consequences of Multiple Dogs Number of dogs Year of facility Rating (out of 5) 54 1975 2 31 1964 3.5 0 2015 4.8 11 2011 3.8 73 1964 2.3 23 2016 3.7 0 2015 4.7 49 1989 2.7 What is the p-value for Number of Dogs? Round to 3 decimal places.