37. The sub-group indices of the consumer price index number for urban non manual employees of an industrial centre for a particular year (with base 2016 = 100) were 200 Food 130 Clothing Fuel and Lighting 120 House Rent 150 Miscellaneous 140 The weights are 60, 8, 7, 10 and 15 respectively. It is proposed to fix dearness allowance in such a way so as to compensate fully the rise in the price of food and house rent. What should be the dearness allowance expressed as a percentage of wage ?
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- 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…3.6 With the increase in the mobility of the population in the United States and with the increasein home-based employment, there is an inclination to assume that the personal income in theUnited States will become fairly uniform across the country. The following table provides the percapita personal income for each of the 50 states and the District of Columbia.Income(thousands of dollars) Number of States22.0–24.9 525.0–27 .9 1328.0–30.9 1631.0–33.9 934.0–36.9 437 .0–39.9 240.0–42.9 2 Total 51 a. Construct a relative frequency histogram for the income data.b. Describe the shape of the histogram using the standard terminology ofhistograms.c. Would you describe per capita income as being fairly homogenous across…In a 1996 article published in Technometrics, 38, pp. 11–22, the authors discuss the reliability of nuclear power plant emergency generators. To control the risk of damage to the nuclear core during accidents at nuclear plants, the reliability of emergency diesel generators (EDG) to start on demand must be maintained at a very high level. At each nuclear power plant there are a number of such generators. An overall measure of reliability is obtained by counting the number of times the EDGs successfully work when needed. The table here provides the number of successful demands for implementation of an EDG between each subsequent failure in an EDG for all the EDGs at each of seven nuclear power plants. A regulatory agency wants to determine if there is a difference in the reliability of the seven nuclear power plants. (Use Data _8). Run an ANOVA (Regardless of the assumptions) and Kruskal–Wallis test.
- In a 1996 article published in Technometrics, 38, pp. 11–22, the authors discuss the reliability of nuclear power plant emergency generators. To control the risk of damage to the nuclear core during accidents at nuclear plants, the reliability of emergency diesel generators (EDG) to start on demand must be maintained at a very high level. At each nuclear power plant there are a number of such generators. An overall measure of reliability is obtained by counting the number of times the EDGs successfully work when needed. The table here provides the number of successful demands for implementation of an EDG between each subsequent failure in an EDG for all the EDGs at each of seven nuclear power plants. A regulatory agency wants to determine if there is a difference in the reliability of the seven nuclear power plants. (Use Data _8). Do the conditions necessary for conducting the ANOVA test appear to be satisfied by these data? Run an ANOVA (Regardless of the assumptions) and…In a 1996 article published in Technometrics, 38, pp. 11–22, the authors discuss the reliability of nuclear power plant emergency generators. To control the risk of damage to the nuclear core during accidents at nuclear plants, the reliability of emergency diesel generators (EDG) to start on demand must be maintained at a very high level. At each nuclear power plant there are a number of such generators. An overall measure of reliability is obtained by counting the number of times the EDGs successfully work when needed. The table here provides the number of successful demands for implementation of an EDG between each subsequent failure in an EDG for all the EDGs at each of seven nuclear power plants. A regulatory agency wants to determine if there is a difference in the reliability of the seven nuclear power plants. (Use Data _8). Do the conditions necessary for conducting the ANOVA test appear to be satisfied by these data?7.6 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…
- (6.15)- Refer to the data in Table 2.13. Regard this hospital as typical of Pennsylvania hospitals. A-What is the best point estimate of the percentage of males among patients discharged from Pennsylvania hospitals?B-What is the standard error of the estimate obtained in Problem A?C-Provide a 95% CI for the percentage of males among patients discharged from Pennsylvania hospitalsa) 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 limitsDave Fletcher, the general manager of North Carolina Engineering Corporation (NCEC), thinks that his firm’s engineer-ing services contracted to highway construction firms are directly related to the volume of highway construction business contractedwith companies in his geographic area. He wonders if this is reallyso, and if it is, can this information help him plan his operationsbetter by forecasting the quantity of his engineering servicesrequired by construction firms in each quarter of the year? Thefollowing table presents the sales of his services and total amountsof contracts for highway construction over the past eight quarters: a) Using this data, develop a regression equation for predictingthe level of demand of NCEC’s services. b) Determine the coefficient of correlation and the standard errorof the estimate.
- 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…(3.2 #16c) Most Expensive Colleges Listed below are the annual costs (dollars) of tuition and fees at the ten most expensive colleges in the United States for a recent year (based on data from U.S. News & World Report). The colleges listed in order are Columbia, Vassar, Harvey Mudd, University of Chicago, Trinity, Franklin and Marshall, Tufts, Amherst, University of Southern California, and Sarah Lawrence. 57,208 55,210 54,886 54,825 54,770 54,380 54,318 54,310 54,259 54,010 What is the standard deviation of this sample?8A.If there is no seasonal effect on people getting sick, we would expect equal numbers of people getting sick in each season (winter, spring, summer and fall). A student takes a census of students who took Marketing Research in 2019 and finds that of the 280 students who took Marketing Research in 2019, 75 were sick in winter, 65 were sick in spring, 68 were sick in summer and 72 were sick in fall. She wonders if the excess in the winter is an indication that sickness rates are not uniform throughout the year. Perform the appropriate chi-square test and indicate the chi-square value below. (Report two decimals) QUESTION 8b Indicate whether the associated p-value for the chi-square value you calculated for question 8 is significant. Yes No