Cu Absorbance 1 Absorbance 2 Absorbance 3 Mean + SD standard (ppm) 1 0.0521 0.0520 0.0522 2 0.1011 0.1012 0.1013 3 0.1576 0.1578 0.1577 4 0.2119 0.2120 0.2121 0.2688 0.2681 0.2685 Unknown Absorbance 1 Absorbance 2 Absorbance 3 Mean + SD sample Water 0.1649 0.1648 0.1701 sample 1 (1:10 dilution)
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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.No. Emp. No. Prod. Wkrs. Value Added by Mfg. Cost of Materials Value of Indus. Shipmnts New Cap. Exp. End Yr. Inven. Indus. Grp. 433 370 23518 78713 4 1833 3630 1 131 83 15724 42774 4 1056 3157 1 204 169 24506 27222 4 1405 8732 1 100 70 21667 37040 4 1912 3407 1 220 137 20712 12030 4 1006 1155 1 89 69 12640 13674 3 873 3613 1 26 18 4258 19130 3 487 1946 1 143 72 35210 33521 4 2011 7199 1 171 126 20548 19612 4 1135 3135 1 21 15 23442 5557 3 605 5506 2 3 2 287 163 1 2 42 2 2 2 1508 314 1 15 155 2 6 4 624 2622 1 27 554 2 52 47 2471 4219 2 292 929 3 74 63 4307 5357 2 454 1427 3 13 12 673 1061 1 20 325 3 17 13 817 707 1 84 267 3 169 147 8986 10421 3 534 2083 3 51 41 3145 4140 2 220 697 3 55 44 4076 7125 2 176 1446 3 84 76 3806 8994 2 423 1014 3 61 47 4276 5504 2 464 1291 3 27 22 1239 716 1 22 356 4 200 178 9423 8926 3 200 2314 4 294 250 11045 11121 3 189 2727 4 38 32 1916 2283 1 29 682 4 17 14 599 364 1 21 197 4 34 28 2063 1813 1 20…1. Let μ denote the true average level of radioactivity of the water in a nuclear plant. Five (5) picocuries per liter is considered the dividing line between safe and unsafe water. a. State the null and alternate hypothesis you would test if you worked at the plant andexplain why you chose your alternate hypothesis.b. In the context of this situation, describe what happens if there is a type I error and type II error.
- Workers in the office like to drink coffee during work. A doctor is concerned about this situation since the too much coffee consumption may result to long-term health problems. However, studies suggests that there is no risk in drinking three cups of coffee per day, which is about 250 mg of caffeine. The doctor wants to know if the amount of caffeine consumed by the workers is within tolerable limits. He randomly selected 20 students and found that they consume an average of 270 mg of caffeine each day with a standard deviation of 48 mg. Assume that the daily amount of caffeine consumed by students follow the normal distribution.1. Which of the following sets of hypotheses should be used in this study? A. Ho: μ = 250 vs. Ha: μ > 250 B. Ho: μ ≤ 250 vs. Ha: μ > 250 C. Ho: μ = 270 vs. Ha: μ > 270 D. Ho: μ = 270 vs. Ha: μ ≠ 270 2. Which of the following is(are) TRUE? I. The appropriate test procedure to answer the objective of the study is a…1. Consumers at a ABC arrive at a rate of 45 per hr. There are three servers that can process customers at an average of 3 mins. (a) What is the average wait time? (b) What is the average number of customers waiting? (c) What is the average number of customers in the DMV? 2. A small entrepreneurial company is trying to decide between developing twodifferent products that they believe they can sell to two potential companies, one large andone small. If they develop Product A,they have a 50% chance of selling it to the largecompany with annual purchases of about 20,000 units.If the large company won't purchaseit, then they think they have an 80% chance of placing it with a smaller company, with salesof 15,000 units.On the other hand if they develop Product B, they feel they have a 40%chance of selling it to the large company, resulting in annual sales of about 17,000 units. If the large company doesn't buy it, they have a 50% chance of selling it to the small company with sales of…Insurance companies can lower their risks by A) using the law of large numbers to make the number of claims more predictable. B) diversifying across insurance products. C) granting large numbers of independent risk policies. D) all of the above
- The residential division of Prism's high-speed Internet service uses one advertising agency, while its commercial division uses another. Two analysts, Andy and Brad, are asked to test the effectiveness of the two agencies. Andy proposes an A/B test that compares the click-through rates per ad of the two agencies. Brad proposes a difference-in-difference test in which the budgets for both agencies are increased by 50%, and the percentage changes in the click-through rates are compared. True or False: Brad's difference-in-differences estimator is more likely to suffer from “leakage” than Andy's. True FalseWAGE EDUC EXPER AGE GENDER RACE 1345 6 2 38 0 1 2435 4 18 52 1 1 1715 6 4 45 1 1 1461 6 4 58 1 1 1639 9 3 30 1 0 1345 5 8 43 0 1 1602 7 6 30 0 1 1144 4 3 33 0 0 1566 6 23 51 1 0 1496 4 15 37 1 1 1234 4 9 45 0 0 1345 6 3 55 0 1 1345 5 14 57 0 1 3389 9 16 36 1 1 1839 4 20 60 1 1 981 4 5 35 1 0 1345 9 10 34 0 1 1566 5 4 28 0 0 1187 6 1 25 0 1 1345 7 10 43 0 1 1345 9 2 42 0 1 2167 4 17 47 1 0 1402 11 2 46 1 1 2115 4 15 52 1 0 2218 8 11 64 1 1 3575 11 1 39 1 1 1972 4 1 39 1 1 1234 4 2 40 0 1 1926 5 9 53 1 0 2165 6 15 59 0 1 2365 6 12 35 0 0 1345 9 5 45 0 1 1839 4 14 37 0 0 2613 5 14 37 1 1 2533 11 3 43 1 1 1602 8 5 32 0 1 1839 9 18 40 0 1 2218 7 1 49 1 1 1529 4 10 43 0 0 1461 1 10 31 1 0 3307 9 22 45 1 1 3833 11 3 31 1 1 1839 4 14 55 1 0 1461 6 5 30 0 1 1433 9 3 28 1 0 2115 6 15 60 0 0 1839 4 13 32 1 0 1288 4 9 58 1 0 1288 6 4 29 0 0A researcher claims that the average monthly expenditure of single persons employed in urban centers in the country is at least Php9,500. The null hypothesis for the test isA. The average monthly expenditure of single persons employed in urban centers in the country is not Php9,500.B. The average monthly expenditure of single persons employed in urban centers in the country is at most Php9,500.C. The average monthly expenditure of single persons employed in urban centers in the country is less than Php9,500.D. The average monthly expenditure of single persons employed in urban centers in the country is at least Php9,500.
- An orange grower wishes to compute the average yield from her orchard. The orchard contains three varieties of trees: 52% of her trees are of variety A, 23% of variety B, and 25% of variety C. The orange grower takes a survey by sampling a certain number of trees of each variety. suppose that in her survey, she found that each tree of variety A averages 120 oranges, each tree of variety B averages 70 oranges, and each tree of variety C averages 90 oranges. Estimate the average yield per tree of her orchard. Round to the nearest whole number.Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottleneck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (inch) from the last six samples are: BOTTLE Sample 1 2 3 4 1 0.694 0.622 0.698 0.69 2 0.687 0.611 0.697 0.613 3 0.671 0.680 0.695 0.602 4 0.610 0.615 0.685 0.678 5 0.680 0.624 0.618 0.614 6 0.685 0.693 0.607 0.669 What would be the upper control limit of a 3-sigma R chart? Answer:Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottleneck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (inch) from the last six samples are: BOTTLE Sample 1 2 3 4 1 0.694 0.622 0.698 0.69 2 0.687 0.611 0.697 0.613 3 0.671 0.680 0.695 0.602 4 0.610 0.615 0.685 0.678 5 0.680 0.624 0.618 0.614 6 0.685 0.693 0.607 0.669 What would be the lower control limits of a 3-sigma ?¯x¯ chart? Answer: