5. Literacy Rates For the same countries used in Exer- cise 22, the literacy rates (in percents) for both men and women are listed. Men 43.1 92.6 65.7 27.9 61.5 76.7 Women 12.6 86.4 45.9 15.4 46.3 96.1 Find y' whenx = 80. %3D
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- 43. The U.S. government wants to determine whetherimmigrants should be tested for a contagious disease,and it is planning to base this decision on financialconsiderations. Assume that each immigrant who isallowed to enter the United States and has the diseasecosts the country $100,000. Also, assume that eachimmigrant who is allowed to enter the United Statesand does not have the disease will contribute $10,000to the national economy. Finally, assume that x percentof all potential immigrants have the disease. The U.S.government can choose to admit all immigrants, admitno immigrants, or test immigrants for the diseasebefore determining whether they should be admitted. Itcosts T dollars to test a person for the disease, and thetest result is either positive or negative. A person who does not have the disease always tests negative. However, 10% of all people who do have the disease testnegative. The government’s goal is to maximize theexpected net financial benefits per potential…Age (YRS) Mass (KG) Cigarettes (Per Day) Risk Index (R.I.) (--) 46 113 40 974.5 35 96 32 670.68 43 81 26 409.26 39 93 50 1484.5 22 66 25 500 58 55 33 631.87 60 72 15 350.75 54 93 19 347.09 32 55 12 308.78 63 115 24 580.74 30 105 20 320.5 24 90 19 381.59 55 65 15 274.25 30 115 6 322.66 40 115 21 411.11 34 80 22 396.48 31 88 22 906 70 57 33 616.87 35 116 43 1072.07 57 101 31 589.41 44 68 36 718.56 66 118 33 790.37 46 120 44 1129.84 20 72 19 487 64 63 35 665.25 30 113 3 204.26 32 70 20 312 37 68 23 299.67 52 88 26 418.76 64 70 46 1299.36 23 87 23 422.17 42 53 50 1500.5 54 64 15 299.75 35 95 49 1536.99 51 95 39 912.69 61 105 20…2) . In February 2021, the Chicago Tribune reported:“The overdose epidemic that has ravaged Chicago has not spared the nearby suburbs, some of which have death rates comparable to anything seen in the city, according to a report released this week by the Cook County Department of Public Health. ZIP codes in the towns of Worth, Broadview, Maywood, and Forest Park, areas that “have substantially lower median household incomes and higher poverty rates,” have been especially hard-hit, the report said.”In the article, they claimed that lower incomes were associated with higher overdose death rates and that overdose death rates are increasing over time. The data you have been analyzing wasn’t focused on Chicago, obviously. But do your results support the general gist of the statistical argument being made in this Tribune excerpt? Please address:• Do overdose death rates appear to be associated with per capita income (use scatterplot)?• Do overdose death rates appear to be increasing over…
- The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76.*8.7 Suppose an equal number of 12- to 14-year-old girlsbelow and above the poverty level are recruited to studydifferences in calcium intake. How many girls should berecruited to have an 80% chance of detecting a significantdifference using a two-sided test with α = .05?3. Scenario It is believed that large doses of acetaminophen (the active ingredient in over the counter pain relievers like Tylenol) may cause damage to the liver in nearly half of those tested. A researcher wants to conduct a study to estimate if the proportion of acetaminophen users who have liver damage is the same as previously reported. For participating in this study, he will pay each subject $20 and provide a free medical consultation if the patient has liver damage. Part A If he wants to limit the margin of error of his 98% confidence interval to 2%, what is the minimum number of subjects he needs? (answer should be in the form of x,xxx) the minimum amount of money he needs to set aside to pay his subjects? $ (answer should be in the form of $xx,xxx) Part B The amount you calculated in Part A is substantially over his budget so he decides to use fewer subjects. Will this change increase or decrease the width of his confidence interval? Will this new confidence interval be…The management of BCD Inc. would like to separate the fixed and variable components of electricity as measured against machine hours in one of its plants. Data collected over the most recent six months follow:Electricity MachineMonth Cost Hours January $1,100 4,500February 1,110 4,700March 1,050 4,100April 1,200 5,000May 1,060 4,000June 1,120 4,600Required: 1. Using the method of least squares, compute the fixed cost and the variable cost rate for electricity expense. (Round estimates to the nearest cent.) 2. Compute coefficients of correlation and determination
- In general,_____% of the values in a data set lie at or below the 94th percential. _______% of the values in a data set lie at or above the 90th percentile... if a sample consists of 800 test scores,___ of them would be at or below 40th percential, if a sample consists of 800 test scores,____ of then would be at or above the 58th percentile.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 aboveAn army depot that overhauls ground mobile radar systems is interested in improving its processes. One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system. The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component. Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employees. Assuming that we define our differences as Time without standard work procedure - Time with standard work procedure, and the p-value associated with the test statistic is less than 0.0001. At alpha = 0.05, I. we reject the null hypothesis II. we fail to reject the null hypothesis III. we can conclude that having standard work procedures in place reduces troubleshooting time for this component I only II only III only…
- a) A C-chart is to be constructed for the count of surface defects in 2000 square meters of 40-kg Kraft paper. If 55 lots had a total of 550 defects. Determine the trial central line and control limits.b) An (np) chart is to be established on a painting process that is in statistical control. If 60 pieces are to be inspected every 3 hours and the fraction non-conforming is 0.06, determine the central line and control limits2. A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in speeds of the vehicles. When some vehicles are traveling slowly while other vehicles are traveling at speeds greatly in excess of the speed limit, the faster-moving vehicles may have to change lanes quickly, which can increase the chance of an accident. Thus, when there is a large variation in the speeds of the vehicles in a given location on the interstate, there may be a larger number of accidents than when the traffic is moving at a more uniform speed. The researcher believes that when the standard deviation in speed of vehicles exceeds 10 mph, the rate of accidents is greatly increased. During a 1-hour period of time, a random sample of 50 vehicles is selected from a section of an interstate known to have a high rate of accidents, and their speeds are recorded using a radar gun. The data…Life-saving drug: Penicillin is produced by the Penicillin fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows. Day 1: 5.2 5.0 5.4 5.2 5.3 5.0 4.9 5.0 5.2 5.0 4.6 5.3 Day 2: 5.6 4.8 4.9 5.3 5.2 4.9 5.4 5.0 5.4 4.9 5.5 5.4 Day 3: 5.9 4.9 5.3 5.4 5.2 5.5 5.0 5.8 5.5 5.4 5.4 5.1 Construct an ANOVA table. Round your answers to four decimal places as needed. One-way ANOVA: Sugar Concentration Source DF SS MS F P Days Error Total