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_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_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_forwardWetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.)arrow_forwardNOT 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_forward
- If you want to win a Nobel Prize, should you study subjects like physics, chemistry, and economics, or should you just eat more chocolate? The table below lists chocolate consumption (kg per capita) and the numbers of Nobel Laureates (per 10 million people) for each of 23 different countries. See Data Set 16 “Nobel Laureates and Chocolate” in Appendix B, where the countries are identified. Chocolate Nobel 4.5 5.5 10.2 24.3 4.4 8.6 2.9 0.1 3.9 6.1 0.7 0.1 8.5 25.3 7.3 7.6 6.3 9.0 11.6 12.7 2.5 1.9 8.8 12.7 3.7 3.3 1.8 1.5 4.5 11.4 9.4 25.5 3.6 3.1 2.0 1.9 3.6 1.7 6.4 31.9 11.9 31.5 9.7 18.9 5.3 10.8 Is there a linear correlation between chocolate consumption and the rate of Nobel Laureates? Run a hypothesis test to test the claim that there is a linear correlation. If there is a correlation between chocolate consumption and the rate of…arrow_forwardPredict the lung cancer index for men who worked in an occupation in England in which the smoking index was 129. What type of prediction did you just make? Explain What type of prediction did you just make? Explain arrow_forwardIdentify the type of observational study (cross-sectional, retrospective, or prospective) described below. A research company uses a device to record the viewing habits of about 5000 households, and the data collected over the next 6 years will be used to determine whether the proportion of households tuned to a particular news program decreases. Which type of observational study is described in the problem statement? A retrospective study A prospective study A cross-sectional studyarrow_forward
- Fuel 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_forwardPlease help!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
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