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A:
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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.In laparoscopic surgery, a video camera and several thin instruments are inserted into the patient's abdominal cavity. The surgeon uses the image from the video camera positioned inside the patient's body to perform the procedure by manipulating the instruments that have been insert ed. The Top Gun Laparoscopic Skills and Suturing Program was developed to help surgeons develop the skill set necessary for laparoscopic surgery. Because of the similarity in many of the skills involved in video games and laparoscopic surgery, it was hypothesized that surgeons with greater prior video game experience might acquire the skills required in laparoscopic surgery more easily. Thirty-three surgeons partici pated in the study and were classified into the three categories, never used, under three hours, and more than three hours depending on the daily number of hours they played video games at the height of their video game use. They also performed Top Gun drills and received a score based on the…Two employees (Molly and Jim) must conduct a data analysis project on the success of a firm’s marketing efforts and then write a report of their findings for consideration by the firm’s board. If the first employee, Molly, worked completely alone, she could finish the data analysis component of the project with 30 hours of work and could write the report with an additional 10 hours of work. If Jim worked alone, he would take 48 hours of work to conduct the data analysis and then 12 hours to write the report. Assume that both employees need to contribute to the project, that there would be no benefits to having two people work on the same part of the project (data analysis and writing), and that working on the two parts are independent (i.e. there is no benefit to working on both parts). Which employee has the comparative advantage in conducting the data analysis? Explain
- We know that physical exercise improves the body, but can it also improve the mind? Scientists at The Salk Institute at La Jolla, California, took a random sample of adult mice and divided them into two groups. Both groups were trained to find a platform in a maze filled with cloudy water. (Mice hate swimming, so they seek the platform as the refuge.) The first group of mice exercised on a running wheel, about 5 kilometers per day. The second group remained inactive. After one month, the mice were placed in the maze and timed until each reached the platform. The sample statistics are given below.Active group: n = 15, x ̄ = 17.6, s = 3.0 111Inactive group: n = 12, x ̄ = 27.1, s = 6.3 222(a) At 1% significance level conduct a hypothesis test to determine if exercise im- proves memory in adult mice; in other words, test if the active group is, on average, faster than the inactive group.(i.) State the hypotheses.(ii.) Test for equality of unknown population variances.(iii.) Calculate test…Abante Communications manufactures portable radio systems that can be used for two-way communications. The company’s new product, which has a range of up to 25 miles, is particularly suitable for use in a variety of business and personal applications. The distribution channels for the new radio are: Marine Equipment Distributors, Business Equipment Distributors, National chain of retail stores, and Direct mail. Because of the differing distribution and promotional costs, the profitability of the product will vary with the distribution channel. In addition, the advertising cost and personal sales effort required will vary with the distribution channels. Marine Equipment Distributors, Business Equipment Distributors, National chain of retail stores, and Direct mail respectively provides P90, P84, P70, and P60 profit per unit sold. However, each distribution channel spends P10, P8, P9, and P15 of advertising cost per unit respectively. Lastly, personal sales effort per unit sold (hours)…CCL is a container shipping company that provides ocean transportation services between hong kong and rotterdam. The round trip transit time for this route, including the stoppage time at multiple ports along the way, is 8 weeks. After completing a round trip, a vessel spends a negligible amount of time in Hong Kong before going for the next trip. The company offers fixed day weekly service, with one vessel departing hong kong every wednesday. How many vessels does CCL need for the hong kong rotterdam route
- An angler fishes half of their time at East Delaney Lake, one quarter of their time at South Delaney Lake, and one quarter of their time at North Delaney Lake. Each lake has only two types of trout, brown trout and cutthroat trout. In East Delaney Lake, 6% of the trout are brown trout. In South Delaney Lake 64% of the trout are brown trout. In North Delaney Lake 69% of the trout are brown trout. Assume that any individual trout fish has the same chance of being caught by an angler spending time at that lake. Given that the angler caught a brown trout, what is the conditional probability that they caught the trout on North Delaney Lake? Use three decimal place accuracy.UNIT 5 CHAPTER 8 The Porsche Club of America sponsors driver education events that provide high-performance driving instruction on actual racetracks. Because safety is a primary consideration at such events, many owners elect to install roll bars in their cars. Deegan Industries manufactures two types of roll bars for Porsches. Model DRB is bolted to the car using existing holes in the car's frame. Model DRW is a heavier roll bar that must be welded to the car's frame. Model DRB requires 20 pounds of a special high-alloy steel, 40 minutes of manufacturing time, and 60 minutes of assembly time. Model DRW requires 25 pounds of the special high-alloy steel, 100 minutes of manufacturing time, and 40 minutes of assembly time. Deegan's steel supplier indicated that at most 40,000 pounds of the high-alloy steel will be available next quarter. In addition, Deegan estimates that 2000 hours of manufacturing time and 1600 hours of assembly time will be available next quarter. The profit…Part 1: Please read the following scenarios. For each scenario, answer the following questions: a) what is the independent variable, b) what is the dependent variable, and c) is this a between-subjects or within-subjects design? A pharmaceutical company developed a new drug to relieve anxiety and hired a research organization to investigate the potential effectiveness of the drug. The researchers contacted a group of psychiatric patients who were experiencing chronic anxiety and randomly assigned half of the patients to the drug group and half of the patients to the placebo group. To avoid any possible confusion in administering the drug or placebo to the patients, one psychiatric nurse always administered the drug and another nurse always administered the placebo. However, to control experimenter expectancy effects, the nurses did not know which drug they were administering. One month later the drug group had dramatically improved compared to the placebo group, and the…
- Indicate why the give method for running a simulation is not accurate.A bag contains 4 red marbles, 4 blue marbles, 6 yellow marbles, and 6 green marbles. If marbles are drawn one-by-one and not replaced, use 0-1 to represent a red marble, 2-3 to represent blue, 4-6 for yellow, and 7-9 to represent a green marble.A high school principal decides to conduct a study in which she examines two chemistry classes in her high school. Her goal is to explore the effectiveness of two different instructional techniques she has become acquainted with and she will determine effectiveness through course grades. One class is taught by Ms. Howes, who will be using an instructional technique called "Chemistry Applications." The other class is taught by Ms. Moore, who will be using an instructional technique called "Chemistry In the Real World." What type of study is the principal planning on conducting? Question 19 options: A) A correlational study B) A quasi-experimental study C) A descriptive study D) A mixed-methods studyeICU Waiting Times. There is a severe shortage of critical care doctors and nurses to provide intensive-care services in hospitals. To offset this shortage, many hospitals, such as Emory Hospital in Atlanta, are using electronic intensive-care units (eICUs) to help provide this care to patients (Emory University News Center). eICUs use electronic monitoring tools and twoway communication through video and audio so that a centralized staff of specially trained doctors and nurses—who can be located as far away as Australia—can provide critical care services to patients located in remote hospitals without fully staffed ICUs. One of the most important metrics tracked by these eICUs is the time that a patient must wait for the first video interaction between the patient and the eICU staff. Consider the following sample of 40 patient waiting times until their first video interaction with the eICU staff.