STA3215 Hypothesis Tests - Mathematics
CompetencyGiven a real-life application, develop a hypothesis test for a population parameter and its interpretation.InstructionsScenario (information repeated for deliverable 01, 03, and 04)A major client of your company is interested in the salary distributions of jobs in the state of Minnesota that range from $30,000 to $200,000 per year. As a Business Analyst, your boss asks you to research and analyze the salary distributions. You are given a spreadsheet that contains the following information:A listing of the jobs by titleThe salary (in dollars) for each jobIn prior engagements, you have already explained to your client about the basic statistics and discussed the importance of constructing confidence intervals for the population mean. Your client says that he remembers a little bit about hypothesis testing, but he is a little fuzzy. He asks you to give him the full explanation of all steps in a hypothesis testing and wants your conclusion about a claim that the average salary for all jobs in the state of Minnesota is less than $75,000.Background information on the DataThe data set in the spreadsheet consists of 364 records that you will be analyzing from the Bureau of Labor Statistics. The data set contains a listing of several jobs titles with yearly salaries ranging from approximately $30,000 to $200,000 for the state of Minnesota.What to SubmitYour boss wants you to submit the spreadsheet with the completed calculations. Your research and analysis should be present within the answers provided on the worksheet. statistics_del_4_worksheet_hypothesis_tests.docx deliverable_spreadsheet_del1_del3_del4__1_.xlsx Unformatted Attachment Preview Deliverable 04 Worksheet 1. Describe the 8 steps in the process for hypothesis testing. Explain the decision criteria for rejecting the null hypothesis for both the p-value method and the critical value method. Answer and Explanation: Enter your step-by-step answer and explanations here. The remaining problems refer to the following scenario: A claim is made that the average salary for all jobs in Minnesota is less than $75,000. You are going to test the claim using 𝛼 = 0.05 and assume that your data is normally distributed and the population standard deviation (𝜎) is not known. 2. Write the null and alternative hypotheses symbolically and identify which hypothesis is the claim. Then identify if the test is left-tailed, right-tailed, or two-tailed and explain why. Answer and Explanation: Enter your step-by-step answer and explanations here. 3. Identify and explain which test statistic you will use for your hypothesis test: z or t? Find the value of the test statistic. Answer and Explanation: Enter your step-by-step answer and explanations here. 4. What is the critical value? Describe the rejection region. Answer and Explanation: Enter your step-by-step answer and explanations here. 5. Using the critical value approach, should you reject the null hypothesis or not reject the null hypothesis? Explain. After making your decision, restate it in non-technical terms and make a conclusion about the original claim. Answer and Explanation: Enter your step-by-step answer and explanations here. 6. Calculate the p-value for this hypothesis test, and state the hypothesis conclusion based on the p-value. Does this match your results from the critical value method? Answer and Explanation: Enter your step-by-step answer and explanations here. Job Title Accountants and Auditors Actuaries Administrative Law Judges, Adjudicators, and Hearing Officers Administrative Services Managers Adult Basic and Secondary Education and Literacy Teachers and Instructors Advertising and Promotions Managers Advertising Sales Agents Aerospace Engineering and Operations Technicians Aerospace Engineers Agents and Business Managers of Artists, Performers, and Athletes Agricultural and Food Science Technicians Agricultural Inspectors Agricultural Sciences Teachers, Postsecondary Air Traffic Controllers Aircraft Cargo Handling Supervisors Aircraft Structure, Surfaces, Rigging, and Systems Assemblers Airfield Operations Specialists Airline Pilots, Copilots, and Flight Engineers Anthropologists and Archeologists Appraisers and Assessors of Real Estate Arbitrators, Mediators, and Conciliators Architects, Except Landscape and Naval Architectural and Civil Drafters Architecture and Engineering Occupations Architecture Teachers, Postsecondary Archivists 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Repairers, Except Mechanical Door Conveyor Operators and Tenders Cost Estimators Crane and Tower Operators Credit Analysts Credit Counselors Criminal Justice and Law Enforcement Teachers, Postsecondary Curators Database Administrators Dental Hygienists Derrick Operators, Oil and Gas Detectives and Criminal Investigators Diagnostic Medical Sonographers Dietitians and Nutritionists Directors, Religious Activities and Education Drafters, All Other Economics Teachers, Postsecondary Economists Editors Education Administrators, All Other Education Administrators, Elementary and Secondary School Education Administrators, Postsecondary Education Administrators, Preschool and Childcare Center/Program Education Teachers, Postsecondary Education, Training, and Library Occupations Educational, Guidance, School, and Vocational Counselors Electric Motor, Power Tool, and Related Repairers Electrical and Electronics Drafters Electrical and Electronics Engineering Technicians Electrical and Electronics Installers and Repairers, Transportation Equipment Electrical and Electronics Repairers, Commercial and Industrial Equipment Electrical and Electronics Repairers, Powerhouse, Substation, and Relay Electrical Engineers Electrical Power-Line Installers and Repairers Electricians Electro-Mechanical Technicians Electronics Engineers, Except Computer Elementary School Teachers, Except Special Education Elevator Installers and Repairers Embalmers Emergency Management Directors Engineering Technicians, Except Drafters, All Other English Language and Literature Teachers, Postsecondary Environmental Engineering Technicians Environmental Engineers Environmental Science and Protection Technicians, Including Health Environmental Science Teachers, Postsecondary Environmental Scientists and Specialists, Including Health Epidemiologists Executive Secretaries and Executive Administrative Assistants Exercise Physiologists Explosives Workers, Ordnance Handling Experts, and Blasters Extruding, Forming, Pressing, and Compacting Machine Setters, Operators, and Tenders Farm and Home Management Advisors Film and Video Editors Financial Analysts Financial Clerks, All Other Financial Examiners Financial Managers Financial Specialists, All Other Fire Inspectors and Investigators Firefighters First-Line Supervisors of Construction Trades and Extraction Workers First-Line Supervisors of Correctional Officers First-Line Supervisors of Farming, Fishing, and Forestry Workers First-Line Supervisors of Fire Fighting and Prevention Workers First-Line Supervisors of Helpers, Laborers, and Material Movers, Hand First-Line Supervisors of Landscaping, Lawn Service, and Groundskeeping Workers First-Line Supervisors of Mechanics, Installers, and Repairers First-Line Supervisors of Non-Retail Sales Workers First-Line Supervisors of Office and Administrative Support Workers First-Line Supervisors of Police and Detectives First-Line Supervisors of Production and Operating Workers First-Line Supervisors of 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Teachers, Postsecondary Hoist and Winch Operators Home Economics Teachers, Postsecondary Human Resources Managers Human Resources Specialists Industrial Engineering Technicians Industrial Engineers Industrial Machinery Mechanics Industrial Production Managers Information and Record Clerks, All Other Information Security Analysts Installation, Maintenance, and Repair Occupations Instructional Coordinators Insurance Appraisers, Auto Damage Insurance Sales Agents Insurance Underwriters Interior Designers Judges, Magistrate Judges, and Magistrates Kindergarten Teachers, Except Special Education Labor Relations Specialists Landscape Architects Lawyers Layout Workers, Metal and Plastic Legal Occupations Legal Support Workers, All Other Librarians Library Science Teachers, Postsecondary Life Scientists, All Other Life, Physical, and Social Science Occupations Loading Machine Operators, Underground Mining Loan Officers Locomotive Engineers Logging Workers, All Other Logisticians Magnetic Resonance Imaging Technologists Management Analysts Managers, All Other Marine Engineers and Naval Architects Market Research Analysts and Marketing Specialists Marketing Managers Marriage and Family Therapists Materials Engineers Mathematical Science Teachers, Postsecondary Mechanical Drafters Mechanical Engineering Technicians Mechanical Engineers Media and Communication Equipment Workers, All Other Medical and Clinical Laboratory Technologists Medical and Health Services Managers Medical Equipment Repairers Meeting, Convention, and Event Planners Mental Health Counselors Metal-Refining Furnace Operators and Tenders Middle School Teachers, Except Special and Career/Technical Education Millwrights Mine Cutting and Channeling Machine Operators Mine Shuttle Car Operators Mining and Geological Engineers, Including Mining Safety Engineers Mining Machine Operators, All Other Mixing and Blending Machine Setters, Operators, and Tenders Mobile Heavy Equipment Mechanics, Except Engines Model 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Technologists Rail Yard Engineers, Dinkey Operators, and Hostlers Railroad Conductors and Yardmasters Rail-Track Laying and Maintenance Equipment Operators Real Estate Brokers Real Estate Sales Agents Recreation and Fitness Studies Teachers, Postsecondary Recreational Vehicle Service Technicians Refractory Materials Repairers, Except Brickmasons Registered Nurses Reinforcing Iron and Rebar Workers Respiratory Therapists Rolling Machine Setters, Operators, and Tenders, Metal and Plastic Roof Bolters, Mining Rotary Drill Operators, Oil and Gas Sales Engineers Sales Managers Sales Representatives, Services, All Other Sales Representatives, Wholesale and Manufacturing, Except Technical and Scientific Products Sales Representatives, Wholesale and Manufacturing, Technical and Scientific Products Secondary School Teachers, Except Special and Career/Technical Education Securities, Commodities, and Financial Services Sales Agents Service Unit Operators, Oil, Gas, and Mining Set and Exhibit Designers Ship Engineers Signal and Track Switch Repairers Social and Community Service Managers Social Scientists and Related Workers, All Other Social Work Teachers, Postsecondary Social Workers, All Other Sociology Teachers, Postsecondary Software Developers, Applications Software Developers, Systems Software Soil and Plant Scientists Sound Engineering Technicians Special Education Teachers, All Other Special Education Teachers, Kindergarten and Elementary School Special Education Teachers, Middle School Special Education Teachers, Secondary School Speech-Language Pathologists Stationary Engineers and Boiler Operators Statisticians Surveyors Tank Car, Truck, and Ship Loaders Tax Examiners and Collectors, and Revenue Agents Technical Writers Telecommunications Equipment Installers and Repairers, Except Line Installers Tire Builders Tool and Die Makers Training and Development Managers Training and Development Specialists Transportation Inspectors Transportation, Storage, and Distribution Managers Urban and Regional Planners Veterinarians Water and Wastewater Treatment Plant and System Operators Web Developers Wholesale and Retail Buyers, Except Farm Products Writers and Authors Zoologists and Wildlife Biologists Salary 71,420 99,870 112,660 93,150 54,890 136,840 63,000 69,230 109,960 85,910 42,540 39,700 92,010 128,980 57,690 48,860 55,190 101,050 56,640 71,530 91,560 85,930 53,290 80,770 79,040 49,970 85,820 70,390 48,990 99,860 93,990 81,010 55,680 108,290 71,230 73,660 48,850 75,010 72,420 69,870 90,540 62,290 41,910 67,220 65,850 61,970 source: http://www.bls.gov/ 64,740 45,820 69,020 48,290 86,360 41,520 48,830 53,650 88,390 85,030 54,310 79,250 87,310 62,230 82,130 33,490 63,710 83,220 40,600 66,990 47,550 40,340 144,350 75,350 74,970 117,200 140,920 86,710 112,250 107,860 60,200 77,570 89,440 96,020 91,230 55,520 65,820 69,070 93,290 42,760 68,400 35,750 65,650 59,680 82,060 49,650 71,970 54,870 88,410 72,850 44,610 77,660 78,560 61,440 50,210 53,330 109,480 72,810 55,220 79,860 102,010 91,970 57,390 64,880 55,000 56,310 40,360 58,770 62,450 61,260 63,410 78,680 94,390 79,120 67,500 56,450 99,490 63,490 83,900 46,100 87,050 57,360 66,090 42,190 87,360 49,460 90,710 74,110 77,440 56,010 58,990 58,320 38,740 74,190 50,190 91,420 38,860 89,040 133,980 70,440 65,710 35,750 73,810 76,370 60,690 71,570 49,590 51,310 66,430 77,900 60,960 87,970 62,830 52,470 58,250 46,110 56,800 68,890 59,640 42,970 63,990 90,080 59,900 98,920 32,220 56,220 67,370 109,490 80,130 54,390 72,210 88,300 82,600 56,120 82,450 54,160 86,270 58,530 55,690 62,210 85,040 80,660 71,420 121,530 64,140 53,110 90,580 54,180 110,490 43,110 95,930 49,750 65,320 62,970 82,760 66,930 61,130 135,740 58,790 69,170 69,200 124,230 49,700 97,570 57,980 62,790 72,520 71,130 71,500 41,270 78,040 66,150 41,940 74,280 76,530 83,560 126,600 57,230 70,940 140,350 52,070 98,090 71,370 58,680 56,050 83,940 47,300 65,770 108,280 63,230 54,500 46,580 43,310 64,780 49,300 46,410 53,150 95,550 51,740 38,940 56,690 40,210 62,060 58,020 84,860 118,520 85,560 110,620 83,110 59,630 116,150 69,470 78,470 53,780 73,680 48,210 90,570 127,590 72,850 55,980 40,880 56,510 46,310 109,250 60,720 126,840 74,090 53,350 81,860 112,460 134,710 85,870 63,770 71,020 199,980 64,700 102,230 47,350 49,570 49,190 73,270 92,440 78,360 57,600 51,840 63,380 68,290 49,410 64,290 86,420 72,570 121,010 60,500 47,570 61,760 116,310 80,510 65,380 64,880 54,860 66,620 48,440 66,270 48,250 63,760 37,600 47,440 77,540 64,470 67,460 39,480 54,150 56,660 101,950 136,930 63,470 75,270 113,360 65,290 95,750 48,010 50,170 103,040 40,520 77,700 76,810 66,060 56,280 84,210 93,280 111,340 70,780 44,310 69,770 63,330 65,290 63,370 74,180 57,420 94,640 67,560 46,730 63,730 67,260 61,410 42,500 57,790 113,080 64,490 92,970 103,970 70,850 91,980 51,720 75,970 59,080 65,180 60,060 ... 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Furman was originally sentenced to death because of a murder he committed in Georgia but the court debated whether or not this was a violation of his 8th amend One of the first conflicts that would need to be investigated would be whether the human service professional followed the responsibility to client ethical standard.  While developing a relationship with client it is important to clarify that if danger or Ethical behavior is a critical topic in the workplace because the impact of it can make or break a business No matter which type of health care organization With a direct sale During the pandemic Computers are being used to monitor the spread of outbreaks in different areas of the world and with this record 3. Furman v. Georgia is a U.S Supreme Court case that resolves around the Eighth Amendments ban on cruel and unsual punishment in death penalty cases. The Furman v. Georgia case was based on Furman being convicted of murder in Georgia. 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