Salary Distributions of Jobs in State of Minnesota Inferential Statistics and Analytics Excel Sheet

Deliverable 3 – Confidence Intervals Competency Given a real-life application, develop a confidence interval for a population parameter and its interpretation. Instructions Scenario (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 title • The salary (in dollars) for each job You have previously explained some of the basic statistics to your client already, and he really liked your work. Now he wants you to analyze the confidence intervals. Background information on the Data The 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 Submit Your boss wants you to submit the spreadsheet with the completed calculations, answers, and analysis. 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 Art Directors Art, Drama, and Music Teachers, Postsecondary Athletic Trainers Atmospheric and Space Scientists Atmospheric, Earth, Marine, and Space Sciences Teachers, Postsecondary Audiologists Avionics Technicians Biomedical Engineers Boilermakers Broadcast News Analysts Brokerage Clerks Budget Analysts Business and Financial Operations Occupations Business Operations Specialists, All Other Business Teachers, Postsecondary Buyers and Purchasing Agents, Farm Products Camera and Photographic Equipment Repairers Captains, Mates, and Pilots of Water Vessels Cardiovascular Technologists and Technicians Career/Technical Education Teachers, Middle School Career/Technical Education Teachers, Secondary School Cargo and Freight Agents Cartographers and Photogrammetrists Chefs and Head Cooks Chemical Engineers Chemical Equipment Operators and Tenders Chemical Plant and System Operators Chemical Technicians Chemistry Teachers, Postsecondary Chemists Child, Family, and School Social Workers Chiropractors Civil Engineers Claims Adjusters, Examiners, and Investigators Clinical, Counseling, and School Psychologists Coil Winders, Tapers, and Finishers Commercial and Industrial Designers Commercial Pilots Communications Equipment Operators, All Other Communications Teachers, Postsecondary Community and Social Service Occupations Community Health Workers Compensation and Benefits Managers Compensation, Benefits, and Job Analysis Specialists Compliance Officers Computer and Information Research Scientists Computer and Information Systems Managers Computer and Mathematical Occupations Computer Hardware Engineers Computer Network Architects Computer Network Support Specialists Computer Occupations, All Other Computer Programmers Computer Science Teachers, Postsecondary Computer Systems Analysts Computer User Support Specialists Conservation Scientists Construction and Building Inspectors Construction Managers Continuous Mining Machine Operators Control and Valve Installers and 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 Protective Service Workers, All Other First-Line Supervisors of Transportation and Material-Moving Machine and Vehicle Operators Fish and Game Wardens Food Service Managers Foreign Language and Literature Teachers, Postsecondary Forensic Science Technicians Forest and Conservation Technicians Foresters Forestry and Conservation Science Teachers, Postsecondary Fundraisers Funeral Service Managers Gaming Supervisors Gas Compressor and Gas Pumping Station Operators Gas Plant Operators General and Operations Managers Geography Teachers, Postsecondary Geological and Petroleum Technicians Geoscientists, Except Hydrologists and Geographers Health and Safety Engineers, Except Mining Safety Engineers and Inspectors Health Diagnosing and Treating Practitioners, All Other Health Educators Health Specialties Teachers, Postsecondary Health Technologists and Technicians, All Other Healthcare Practitioners and Technical Occupations Healthcare Social Workers Hearing Aid Specialists Historians History 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 Makers, Metal and Plastic Morticians, Undertakers, and Funeral Directors Multimedia Artists and Animators Music Directors and Composers Natural Sciences Managers Network and Computer Systems Administrators Nuclear Engineers Nuclear Medicine Technologists Nuclear Technicians Nurse Practitioners Nursing Instructors and Teachers, Postsecondary Occupational Health and Safety Specialists Occupational Health and Safety Technicians Occupational Therapists Occupational Therapy Assistants Operations Research Analysts Optometrists Orthotists and Prosthetists Painters, Transportation Equipment Paper Goods Machine Setters, Operators, and Tenders Paralegals and Legal Assistants Patternmakers, Metal and Plastic Personal Financial Advisors Petroleum Pump System Operators, Refinery Operators, and Gaugers Pharmacists Philosophy and Religion Teachers, Postsecondary Physical Therapist Assistants Physical Therapists Physician Assistants Physicists Physics Teachers, Postsecondary Plant and System Operators, All Other Plumbers, Pipefitters, and Steamfitters Podiatrists Police and Sheriff’s Patrol Officers Political Science Teachers, Postsecondary Postal Service Clerks Postal Service Mail Carriers Postal Service Mail Sorters, Processors, and Processing Machine Operators Postmasters and Mail Superintendents Power Distributors and Dispatchers Power Plant Operators Precision Instrument and Equipment Repairers, All Other Private Detectives and Investigators Probation Officers and Correctional Treatment Specialists Producers and Directors Production, Planning, and Expediting Clerks Property, Real Estate, and Community Association Managers Psychologists, All Other Psychology Teachers, Postsecondary Public Relations and Fundraising Managers Public Relations Specialists Pump Operators, Except Wellhead Pumpers Purchasing Agents, Except Wholesale, Retail, and Farm Products Purchasing Managers Radiation Therapists Radio, Cellular, and Tower Equipment Installers and Repairers Radiologic 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 67190 97070 133840 95180 63940 104130 51740 56140 115220 74580 42060 54140 87390 114906 52480 51410 59800 115670 55720 52870 86430 81000 62210 73850 73870 76749 98924 78700 45440 93900 96590 97230 47320 99000 76310 71040 57260 75940 64880 67980 119810 62290 32280 63890 59630 69050 source: http://www.bls.gov/ Calculations/Values Mean Standard Deviation n Formulas/Answers 63430 40910 72120 47660 87200 45460 54920 50360 96330 59630 58140 86820 91430 66030 76150 36610 66710 130059 43160 85310 43790 37190 121570 67210 67637 121310 137140 81640 95500 112050 70940 92960 84280 89290 90600 53680 67540 64150 99150 55330 64960 35110 69480 53980 72870 46720 66980 66230 91730 71930 38120 90890 74340 60370 43690 51790 137920 106280 58820 79960 103570 110110 81590 65020 47920 56550 63800 69010 68060 54060 55970 81590 91870 67430 59190 54700 100610 62620 88340 48770 79270 63250 81700 56810 84870 45090 92530 84320 85620 55770 54300 62910 38680 38940 62280 85660 44080 99800 134370 87690 58590 49620 82160 84290 42540 91930 49590 54280 66430 72920 58120 101240 60990 46280 58250 75430 51340 73350 79630 46640 65970 90080 57720 82590 32220 62720 70130 124190 82530 39180 70730 84880 67650 41781 136670 45940 67470 53600 46970 84337 88590 80,660 74490 112430 61460 55460 82720 55930 100480 45700 97360 45990 66810 70380 66080 76990 62010 58140 55850 51870 68960 140920 42830 82900 59800 56320 78830 82630 62840 41270 63040 71960 41940 74600 70580 92200 88600 82410 62380 122260 55600 91510 78880 58540 60220 92040 76540 65770 113030 58310 52370 46580 44990 66630 58660 46250 56930 93920 69160 41970 58950 57100 69800 59890 46260 113620 87700 121650 79440 88770 101960 72450 75610 61740 82290 61860 90310 111790 82380 45230 37110 56990 56260 121750 66550 120280 78010 58720 90040 104730 118520 89040 56830 77570 192180 73870 90250 49310 50160 49820 75620 84830 79100 64170 58290 64300 75970 48390 66710 79010 89680 115180 63620 51520 61760 111380 84640 49240 63420 54790 65740 54600 86260 59010 60080 34450 49210 71730 86290 56910 38060 58900 49720 98760 75432 61930 69900 81950 68380 86070 42200 54620 57066 37720 63870 79960 54580 65890 87710 96110 106700 57080 58660 59400 65430 62160 68560 78760 79090 88190 60215 45470 79850 67410 57580 42500 54680 101500 59910 86790 92220 79510 93830 54560 56820 59080 62170 63420 1. Discuss the importance of constructing confidence intervals for the population mean by answering these questio a. What are confidence intervals? b. What is a point estimate? c. What is the best point estimate for the population mean? Explain. d. Why do we need confidence intervals? mean by answering these questions. 2. Using the data from the ‘Data’ tab in this workbook, construct a 95% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown. Include a statement that correctly interprets the confidence interval in context of the scenario. Hint: Use the sample mean and sample standard deviation from Deliverable 1. Do NOT copy and paste the values. Show all calculations (including the critical value, margin of error, and limits of the confidence interval) to the right. Incl a breakdown of the steps and a correct statistical interpretation of the answer below. nterval for the population mean. nt that correctly interprets the T copy and paste the values. nfidence interval) to the right. Include Calculations/Values Mean Standard Deviation n Critical Value Margin of Error Lower Limit Upper Limit Formulas/Answers 3. Using the data from the ‘Data’ tab in this workbook, construct a 99% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown. Include a statement that correctly interprets the confidence interval in context of the scenario. Hint: Use the sample mean and sample standard deviation from Deliverable 1. Do not copy and paste Show all calculations (including the critical value, margin of error, and limits of the confidence interval) to the right. Inclu breakdown of the steps and a correct statistical interpretation of the answer below. terval for the population mean. t that correctly interprets the opy and paste the values. idence interval) to the right. Include a Calculations/Values Mean Standard Deviation n Critical Value Margin of Error Lower Limit Upper Limit Formulas/Answers 4. Compare your answers for (2) and (3). You notice that the 99% confidence interval is wider. What is the advanta confidence interval? Why would you not always use the 99% confidence interval? Explain with an example. val is wider. What is the advantage of using a wider Explain with an example. 5. We want to estimate the mean salary in Minnesota. (a) How many jobs must be randomly selected for their respec mean salaries if we want 95% confidence that the sample mean is within $124 of the population mean and σ = $1175 Is the current sample size of 364 in the data set in our Excel workbook large enough? Explain. Show your calculations using Excel functions in the area to the right of this text box and answer the problem with explanations below. andomly selected for their respective e population mean and σ = $1175. (b) d answer the problem with Deliverable 3 – Confidence Intervals Dear Nelda, same feedback. Your #5 is good. A couple of errors. We don’t use STDEVA. You need to use cell references. You cannot copy and paste the values if you have the calculated ones. Check your calculations for the confidence intervals. Again, avoid rounding the num …





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