Too little or too much wine? Wine-pouring vending machines, previously available in Europe and international airports, have become popular in the past few years in the United States. They are even approved to dispense wine in some Walmart stores. The available pouring options are a 5-ounce glass, a 2.5-ounce half-glass, and a 1-ounce taste. When the machine is in statistical control (see Exercise 7.43), the amount dispensed for a full glass is 5.1 ounces. Four observations are taken each day to plot a daily
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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.arrow_forwardUse this data for the exercises that follow: In 2013, there were roughly 317 million citizens in the United States, and about 40 million were elderly (aged 65 and over).[34] 60. It is predicted that by 2030, one in five U.S. citizens will be elderly. How much greater will the chances of meeting an elderly person be at that time? What policy changes do you foresee if these statistics hold true?arrow_forwardI need help with my assignmentarrow_forward
- You may need to use the appropriate appendix table or technology to answer this question. DATAfile: ResidentialWater On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities. 10.48 9.18 11.8 6.5 12.42 14.53 15.56 10.12 14.5 16.18 17.6 19.18 17.98 12.85 16.8 17.35 15.64 14.8 18.91 17.99 14.9 18.42 16.05 26.85 22.32 22.76 20.98 23.45 19.05 23.7 19.26 23.75 27.8 27.05 27.14 26.99 24.68 37.86 26.51 39.01 29.46 41.65 (a) Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.) H0: Ha: (b) What is the test statistic for your…arrow_forwardYou may need to use the appropriate appendix table or technology to answer this question. DATAfile: ResidentialWater On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities. 10.48 9.18 11.8 6.5 12.42 14.53 15.56 10.12 14.5 16.18 17.6 19.18 17.98 12.85 16.8 17.35 15.64 14.8 18.91 17.99 14.9 18.42 16.05 26.85 22.32 22.76 20.98 23.45 19.05 23.7 19.26 23.75 27.8 27.05 27.14 26.99 24.68 37.86 26.51 39.01 29.46 41.65 (a) Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.) H0: Ha: (b) What is the test statistic for your…arrow_forwardDetermine if the following scenarios involve an observational study or an experiment. Make sure your answers are legible and spelled correctly. A team of ecologists determines the different species of frogs that live in the local swamplands. A medical researcher divides patients into a treatment group and a control group to determine the effect of a new drug on overall cholesterol levels in patients. A medical insurance company determines the average cost to cover a tooth extraction procedure over the past 3 years. As part of a medical study to determine the effectiveness of a new technique for abdominal surgery, patients undergo the surgery with the new technique or with a traditional technique. The recovery time from surgery is then compared for the two different techniques. The general manager of a baseball team determines the on-base percentage (OBP) for his players over the past two seasons. A dietitian examined the effectiveness of a weight-loss program by randomly…arrow_forward
- NOT FOR SALE OR DISTRIBUTION, PROPERTY OF YORK UNIVERSITY Recommended time: 15 minutes In a preliminary survey, you compare the stomach contents of three planktivorous fish - a brook stickleback, an lowa darter, and a logperch – to determine if they consume two types of zooplankton - cladocerans and copepods - in similar proportions. The data are shown below: Stickleback Darter Logperch # cladocerans 22 30 25 # copepods 9. 14 24 NOT FOR SALE OR DISTRIBUTION, PROPERTY OF YORK UNIVERSITY Conduct a hypothesis test to determine if there is evidence these fish have different feeding preferences. State a) the null and alternate hypotheses b) the test statistic, showing all calculations c) the critical value NOT FOR SALE OR DISTRIBUTION, PROPERTY OF YORK UNIVERSITY d) your conclusion with respect to the null hypothesis e) your conclusion with respect to the scientific hypothesis ) the best graphical method for illustrating these data NOT FOR SALE OR DISTRIBUTION, PROPERTY OF YORK UNIVERSITYarrow_forwardFuel Economy, Minivans - The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel economy a typical driver will achieve under average driving conditions. One of the fuel economy values the EPA publishes is a combined estimate, which represents a combination of city driving (55%) and highway driving (45%). Toyota Sienna, a popular minivan, advertises an average combined fuel usage of 22 mpg. A large rental company collected the information about combined fuel economy (mpg) for their 10 Toyota Sienna minivans. The results are shown in the table below. 21.7 21 21.9 20.4 21.8 21.6 22.5 20.8 23.5 21.1 The company calculates the sample mean to be 21.63 and sample standard deviation as 0.897. Round all calculated values 4 decimal places as appropriate. 1. The management believes that Toyota has overestimated the fuel economy of the Sienna. Which set of hypotheses should we use to determine if the fuel efficiency of the Sienna is…arrow_forwardWildlife: Mallard Ducks and Canada Geese For mallard ducks and Canada geese, what percentage of nests are successful (at least one off- spring survives)? Studies in Montana, Illinois, Wyoming, Utah, and California gave the following percentages of successful nests (Reference: The Wildlife Society Press, Washington, D.C.).arrow_forward
- Property Crime. As reported by the Federal Bureau of Investigation in Crime in the United States, 5.1% of property crimes are committed in rural areas and 1.6% of property crimes are burglaries committed in rural areas. What percentage of property crimes committed in rural areas are burglaries?arrow_forwardOnly part carrow_forwardHi could you fill out the blanks?arrow_forward
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