3. Candidacy to be a school ambassador is to be granted to the student who scores highest in four weighted categories. The criteria and their weightings are provided in the table, along with the candidates’ scores in each category. Based on their weighted means, who should win the candidacy?
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3. Candidacy to be a school ambassador is to be granted to the student who scores highest in four weighted categories. The criteria and their weightings are provided in the table, along with the candidates’ scores in each category. Based on their weighted means, who should win the candidacy?
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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.Johnson Filtration, Inc. provides maintenance service for water-filtration systems. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. Repair Time(hours) Months SinceLast Service Type ofRepair Repairperson 2.9 2 electrical Dave Newton 3.0 6 mechanical Dave Newton 4.8 8 electrical Bob Jones 1.8 3 mechanical Dave Newton 2.9 2 electrical Dave Newton 4.9 7 electrical Bob Jones 4.2 9 mechanical Bob Jones 4.8 8 mechanical Bob Jones 4.4 4 electrical Bob Jones 4.5 6 electrical Dave Newton Ignore for now the months since the last maintenance service (x1 ) and the repairperson who performed the service. Develop the estimated simple linear regression equation to predict the repair time (y) given the…Advil and Motrin IB produce the same headache relief medication with the active ingredient ibuprofen. Each pillshould contain 200 mg of ibuprofen. A health agency obtains a sample of ten tablets from both manufacturers and measureshow much ibuprofen each pill actually contains.Number of milligrams measuredAdvil 199.25 198.50 200.10 200.75 201.00 198.00 200.10 199.00 201.10 202.20Motrin IB 205.00 195.80 195.20 203.20 205.80 194.40 204.60 194.60 207.20 194.20(a) Verify on your calculator that each sample has a mean value of 200 mg.(b) What is the range of each sample?(c) However, based on the given sample values, which company would you prefer to buy from? Justify your answer with statisticalreasoning. (Hint: argue using standard deviation and explain why this is desirable in this situation)
- 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?IN excel if possibleGreat Grasslands Grains, Inc. (GGG) manufactures and sells a wide variety of breakfast cereals. GGG’sproduct development lab recently created a new cereal that consists of rice flakes and banana-flavoredmarshmallows. The company’s marketing research department has tested the new cereal extensivelyand has found that consumers are enthusiastic about the cereal when 16-ounce boxes contain at least1.6 ounces and no more than 2.4 ounces of the banana-flavored marshmallows.As GGG prepares to begin producing and selling 16-ounce boxes of the new cereal, which it has namedGo Bananas management is concerned about the amount of banana-flavored marshmallows. It wants tobe careful not to include less than 1.6 ounces or more than 2.4 ounces of banana-flavoredmarshmallows in each 16-ounce box of Go Bananas. Tina Finkel, VP of Production for GGG, hassuggested that the company measure the weight of banana-flavored marshmallows in a random sampleof 25 boxes of Go Bananas on a weekly…Jerry's sister, Colleen, is a Philadelphia-based accountant, and much of her work has her auditing retail companies—literally showing up unannounced—to confirm their in-house inventory matches what their inventory software and tax filings claim. If she finds evidence to suggest there are widespread discrepancies between physical in-store inventory and what's shared with the Internal Revenue Service via inventory reports, she informs the IRS that a more thorough audit is warranted. Assume Colleen is auditing a company that maintains separate records for 4500 different items, 4400 of which are accurate and 100 of which are inaccurate. Rather than examining all 4500 records, Colleen arbitrarily samples 100 of them (without replacement). Let X be the random variable counting the number of inaccurate record found among all 100 samples, assuming all samples are equally likely. What is p_X(x), which is the probability mass function of X as defined above. verify the value of p_X(5) out to…
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- Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should be related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars). Weekly Usage(hours) AnnualMaintenance Expense 19 24 16 29 26 37 34 44 38 54 23 38 30 40 37 46 46 59 44 47 -select your answer choices- b. p-value less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10 Conclusion Do not conclude that there is a significant relationship between expense and weekly usage Conclude that there is a significant relationship between expense and weekly usage d. No, the expected maintenance expense is less than $3000 Yes, the expected maintenance expense is greater than $3000Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computerized wheel alignment and balancing machine. Managers feel that maintenance expense is related to usage of the machine, and they have collected the following information on weekly usage of the machine (in hours) and annual maintenance expense (in hundreds of dollars) from 10 other companies that own the machine.Company Weekly Usage(hours) Annual maintenance Expense(hundreds of dollars)A 13 17.0B 10 22.0C 20 30.0D 28 37.0E 32 47.0F 17…