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- A factory uses three production lines to manufacture cans of a certain type. The accompanying table gives percentages of nonconforming cans, categorized by type of non-conformance for each of the three lines during a particular time period. During this time period, line 1 produced 100 non-conforming cans, line 2 produced 100 such cans, and line 3 was responsible for 300 non-conforming cans. A Quality Control person picks up a non-conforming can produced by one of the three lines. What is the probability that the can was produced by Line 1? (State your answer as a decimal accurate to three decimal places). Line 1 Line 2 Line 3 Blemish 15% 12% 20% Crack 50% 44% 40% Pull-Tab Problem 21% 28% 24% Surface Defect 10% 8% 15% Other 4% 8% 1%Individuals involved in the criminal justice system are thought to display many dynamic criminogenic needs, meaning that they have areas of need that are specifically associated with a higher risk of offending (e.g., substance use, antisocial peers etc…). Research has demonstrated that addressing these needs in treatment can lead to reductions in committing new crimes when released from prison. A researcher thinks that offenders may also have some strengths that, if built upon, can also lead to further reductions in recidivism. The researcher has 10 incarcerated offenders take 2 assessments: one on dynamic risk factors and one on strengths (both interval scales) to see if these measures are related to each other. Using the data in Table 1 and testing at an alpha of 0.05, use all the steps of hypothesis testing to determine what can be said about the researcher’s hypothesis. Dynamic Strength 10 2 12 3 8 5 5 4 6 3 7 6 9 5 10 4 11 2 9 1Questiononea)Definethefollowingtermsi)asolution ii)afeasiblesolution iii)Optimalsolution iv)Objectivefunctionb
- How can we classify experimental designs? Explain one in eachcategory.One major factor in low productivity is the amount of time wasted by workers. Wasted time could include things such as time spent waiting for more material and equipment, cleaning up mistakes, and performing any other activity not related to production. In a project designed to examine this problem, a consultant took a survey of 200 workers in companies that were classified as successful (on the basis of their latest annual profits) and another 200 workers from unsuccessful companies. The amount of time (in hours) wasted during a standard 40-hour workweek was recorded for each worker. Do these data provide enough evidence at the 5% significance level to infer that the amount of time wasted in unsuccessful firms exceeds that of successful ones? To answer this question, the consultant ran several analyses and provided the out below. Note that none of these analyses might be correct. A. H0: (μ1 - μ2) = 0 H1: (μ1 - μ2) > 0 B. H0: μD = 0 H1: μD > 0 C. H0: μD = 0…The file MidCity Download MidCitycontains data on 128 recent sales in Mid City. For each sale, the file shows the neighborhood (1, 2, or 3) in which the house is located, the number of offers made on the house, the square footage, whether the house is made primarily of brick, the number of bathrooms, the number of bedrooms, and the selling price. Neighborhoods 1 and 2 are more traditional neighborhoods, whereas neighborhood 3 is a newer, more prestigious neighborhood. Home Nbhd Offers Sq Ft Brick Bedrooms Bathrooms Price 1 2 2 1790 No 2 2 228600 2 2 3 2030 No 4 2 228400 3 2 1 1740 No 3 2 229600 4 2 3 1980 No 3 2 189400 5 2 3 2130 No 3 3 239600 6 1 2 1780 No 3 2 229200 7 3 3 1830 Yes 3 3 303200 8 3 2 2160 No 4 2 301400 9 2 3 2110 No 4 2 238400 10 2 3 1730 No 3 3 208000 11 2 3 2030 Yes 3 2 265000 12 2 2 1870 Yes 2 2 246000 13 1 4 1910 No 3 2 205200 14 1 5 2150 Yes 3 3 252600 15 3 4 2590 No 4 3 353600 16 3 1 1780 No 4 2 291600 17 2 4 2190 Yes 3 3…
- choose one of the following procedures for each of the research scenarios described. In a rural school 202 students from a total school population of 723 suffer from malnutrition while in an urban school, 167 students from a total of 1 001 suffer from malnutrition. A master’s degree student wants to determine whether suffering from malnutrition is dependent on the region (urban versus rural) in which the school is situated.22. Is there multicollinearity in the model? Yes, No or Cannot be determined?The Dean of the College of Business at State University hasinitiated a fund raising campaign. One of the selling pointsshe plans to use with potential donors is that increasing thecollege’s private endowment will improve its ranking amongbusiness schools as published in various news magazines.She would like to demonstrate that there is a relationshipbetween funding and the rankings. She has collected thefollowing data showing the private endowments ($ millions),and annual budgets ($ millions) from state and privatesources, for eight of State’s peer institutions plus State, andthe ranking of each school. Use Excel to develop a linear regression model for theamount of the private endowment and the ranking, and forecast a ranking for a private endowment of $70 mil-lion. Does there appear to be a strong relationship between the endowment and ranking?b. Using Excel, develop a multiple regression equation forall of these data including private endowment andannual budget, and forecast a…
- Each year U.S. News and World Report conducts its "Survey of America's Best Graduate and Professional Schools." and ranks the top 25 business schools, as determined by reputation, student selectivity, placement success, and graduation rate. For each school, three variables were measured: (1) GMAT score for the typical incoming student; (2) student acceptance rate (percentage accepted of all students who applied); and (3) starting salary of the typical graduating student. An academic advisor wants to predict the typical starting salary of a graduate at a top business school using GMAT score of the school as a predictor variable. The results of a simple linear regression of SALARY versus GMAT using the 25 data points are shown below. Is there sufficient evidence to suggest there is a linear relationship between SALARY and GMAT at the 5% level of significance? ----------------------------------------------------------------------------------- a = -92040 b = 228 s = 3213 r2 = .66 r =…Each year U.S. News and World Report conducts its "Survey of America's Best Graduate and Professional Schools." and ranks the top 25 business schools, as determined by reputation, student selectivity, placement success, and graduation rate.For each school, three variables were measured: (1) GMAT score for the typical incoming student; (2) student acceptance rate (percentage accepted of all students who applied); and (3) starting salary of the typical graduating student. An academic advisor wants to predict the typical starting salary of a graduate at a top business school using GMAT score of the school as a predictor variable. The results of a simple linear regression of SALARY versus GMAT using the 25 data points are shown below. Is there sufficient evidence to suggest there is a linear relationship between SALARY and GMAT at the 5% level of significance? ----------------------------------------------------------------------------------- a = -92040 b = 228 s = 3213 r2 = .66 r =…Using a theoretical framework from engineering sciences, the researcher believes that the physical set up of hospital rooms impacts rates of hand washing. After prolonged engagement, she observed the healthcare providers working on a medical/surgical floor of a hospital. As the result of her data analysis she purposefully selected 6 physicians, 10 nurses and 12 nursing aids to conducted in-depth interviews with. Subsequent to the analysis of that data she then purposefully selected 5 medical residents, 10 more nurses, the radiographers assigned to the portable imaging machine, and 15 patient transporters to conduct interviews with. She uses the data she collected and analyzed to develop a survey that she sent to 100 randomly selected hospitals across the northeast. What research design was used in this study? a. Mixed Methods b. Exploratory c. Convergent d. Explanatory