Flu Vaccine In the fall of
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Introductory Statistics (2nd Edition)
- What is an experiment?arrow_forwardCholesterol 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.arrow_forwardWhat is meant by the sample space of an experiment?arrow_forward
- Cholera, a serious intestinal disease, broke out in London in the mid-19th century. Research by a physician named John Snow indicated that the disease was caused by germs in polluted water. A vaccine for cholera was then developed in the late 1800s. A vaccine is a drug that helps a person become immune to a disease. Scientists studied 818 people to determine the effects of a cholera vaccine. The study lasted from 1894 to 1896. Infected Not Infected Vaccinated 3 276 Not Vaccinated 66 473 Use the information in the table to complete the following four statements. Round to the nearest tenth of a percent. (a) % of those vaccinated were infected. Round to one decimal place.arrow_forwardSome commercial airlines recirculate about half the air in the cabin during flights as a way to improve fuel efficiency. Other airlines make a policy of NOT recirculating the air and instead, have fresh air from the atmosphere constantly being inserted into the cabin with the “old” air being pumped out of the plane. A total of 1100 passengers flying from San Francisco to Denver were used for an experiment. After their flight, they were each given a list of symptoms associated with the common cold. They were asked to report if they experienced cold symptoms within 24 hours of the flight landing. Of the 517 passengers who flew on planes that recirculate the air, 108 reported post-flight cold symptoms. Of the 583 passengers who flew on airlines that do not use recirculation in the cabin, 110 reported symptoms. Suppose now that we want to use the recirculation of air data to explore “Goal #2”, which is to resolve a hypothesis test about . a) If we want to resolve this hypothesis…arrow_forwardA company receives complaints about their product bending and needs to determine how many faulty products are going undetected. The company uses a scanning device that places a mark on each defective product that it detects on the production line. However not all defective products are detected by the scanner, and sometimes it marks a product which is not defective. When a product is not defective, the scanner marks it 5% of the time. When a product is defective, the scanner marks it 98% of the time. The quality control department reports that 4% of all products are defective. Which option will calculate the probability that the product is marked?arrow_forward
- An immunologist is interested in whether the number of symptoms of the flu a person first exhibits is related to how many days that person will be sick. What is the appropriate test?arrow_forwardThe cancer treatment facts and figures show that for early-stage lung cancer 71% of all patients undergo surgery and 37% of all patients receive radiotherapy as part of their treatments. Furthermore, 53% of all early-stage lung cancer patients ONLY receive surgery. What percentage of early-stage lung caner patients undergo both surgery and radiotherapy?arrow_forwardTuff Rubbers, a tire manufacturer, knows that 5% of the tires it produces are defective. To reduce the number of defective tires that make it to market, the manufacturer uses a special device to test each tire before shipping it out. The test will correctly detect a defective tire 97% of the time. However, the test will incorrectly indicate a good quality tire is defective 6% of the time. If the test indicates a tire is defective, the tire is recycled. Otherwise, the tire makes it to market. Let D represent the event a tire is defective, and T represent the event the test indicates a tire is defective. In each part of this question, express each probability only in terms of the events D and T and justify any computation by explicitly stating the formula you are using. (a) Express each of the three probabilities listed above in terms of the events D and T. (b) What percentage of tires are recycled? (c) What percentage of recycled tires are not defective? (d) What percentage of…arrow_forward
- Hurricane Andrew swept through southern Florida causing billions of dollars of damage. Because of the severity of the storm and the type of residential construction used in this semitropical area, there was some concern that the average claim size would be greater than the historical average hurricane claim of $25,500. Several insurance companies collaborated in a data gathering experiment. They randomly selected 26 homes and sent adjusters to settle the claims. In the sample of 26 homes, the average claim was $28,000 with a population standard deviation of $6300. Is there sufficient evidence at a 0.01 significance level to support the claim that the home damage is greater than the historical average? Assume the population of insurance claims is approximately normally distributed. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho 25,500 Ha H. 25,500arrow_forwardThe proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 371 Americans is administered the acupuncturists treatment and 41 report experiencing migraines.arrow_forwardHurricane Andrew swept through southern Florida causing billions of dollars of damage. Because of the severity of the storm and the type of residential construction used in this semitropical area, there was some concern that the average claim size would be greater than the historical average hurricane claim of $25,000. Several insurance companies collaborated in a data gathering experiment. They randomly selected 26 homes and sent adjusters to settle the claims. In the sample of 26 homes, the average claim was $27,500 with a population standard deviation of $5500. Is there sufficient evidence at a 0.10 significance level to support the claim that the home damage is greater than the historical average? Assume the population of insurance claims is approximately normally distributed. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.arrow_forward
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