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
- The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine. 158,045 of the 165,000 dogs examined had their rabies shots. Risk no more than 5% Type I error. What is the probability of Z OBT being more than alphs? (round to the nearest hundredth)arrow_forwardThe rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine. 158,045 of the 165,000 dogs examined had their rabies shots. Risk no more than 5% Type I error. . What is the Z CRIT? A + 1.96 B + 1.645 C - 1.96 D - 1.645arrow_forwardThe rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine. 158,045 of the 165,000 dogs examined had their rabies shots. Risk no more than 5% Type I error. Do you retain or reject the null hypothesis? Retain the null. Reject the null.arrow_forward
- What is the population in this study?arrow_forwardA health officer is trying to study the malaria situation of Zambia. From the records of seasonal blood survey (SBS) results he came to understand that the proportion of people having malaria in Zambia was 3.8% in 2015. The size of the sample considered was 15,000. He also realized that during the year that followed (2016), blood samples were taken from 10,000 randomly selected persons. The result of the 2016 seasonal blood survey showed that 200 persons were positive for malaria. Help the Health officer in testing the hypothesis that the malaria situation of 2016 did not show any significant difference from that of 2015 (take the 5% level of significance).arrow_forwardSuppose the prevalence of "dance fever" at a college is 40% among women and 10% among men. If there are half as many men as women, what is the overall prevalence of dance fever at the college? What proportion of people without dance fever at that college are women?arrow_forward
- Some 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_forwardAn 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_forward
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