Rasmussen University Inferential Statistics and Analytics Worksheet

Instructions

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Scenario (Information repeated for deliverable 01, 03, and 04)

A major client of your company is interested in the salarydistributions of jobs in the state of Minnesota that range from $30,000to $200,000 per year. As a Business Analyst, your boss asks you toresearch 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
  • In prior engagements, you have already explained to your client aboutthe basic statistics and discussed the importance of constructingconfidence intervals for the population mean. Your client says that heremembers a little bit about hypothesis testing, but he is a littlefuzzy. He asks you to give him the full explanation of all steps in ahypothesis testing and wants your conclusion about a claim that theaverage salary for all jobs in the state of Minnesota is less than$75,000.

    Background information on the Data

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    The data set in the spreadsheet consists of 364 records that youwill be analyzing from the Bureau of Labor Statistics. The data setcontains a listing of several jobs titles with yearly salaries rangingfrom approximately $30,000 to $200,000 for the state of Minnesota.

    What to Submit

    Your boss wants you to submit the spreadsheet with the completedcalculations. Your research and analysis should be present within theanswers provided on the worksheet. 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:
    Step 1 – State the Null Hypothesis
    Step 2 – State the Alternative Hypothesis
    Step 3 – Construct the contingency table, in step 3, you can also write
    set alpha
    Step 4 – Collect Data
    Step 5 – Calculate a test statistic
    Step 6 – Construct Acceptance/Rejection rejoins
    Step 7 – Based on Steps 5 & 6, draw a conclusion about HO Done
    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:
    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
    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
    70500
    102880
    117190
    96180
    63940
    104130
    51740
    56140
    115220
    74580
    42060
    54140
    87390
    124540
    52480
    51410
    59800
    115670
    57720
    52870
    86430
    81000
    62210
    73850
    73870
    60730
    92680
    78700
    45440
    93900
    96590
    97230
    47320
    99000
    76310
    71040
    57260
    75940
    64880
    67980
    119810
    62290
    32280
    63890
    59630
    69050
    source: http://www.bls.gov/
    63430
    40910
    72120
    47660
    87200
    45460
    54920
    50360
    96330
    76620
    58140
    86820
    91430
    66030
    76150
    36610
    66710
    104420
    43160
    85310
    43790
    37190
    121570
    67210
    71780
    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
    65860
    65020
    47920
    56550
    63800
    69010
    68060
    54060
    55970
    81590
    91870
    67430
    74010
    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
    88120
    51340
    73350
    79630
    46640
    65970
    90080
    57720
    82590
    32220
    62720
    70130
    124190
    82530
    39180
    70730
    84880
    67650
    58050
    136670
    45940
    67470
    53600
    46970
    70840
    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
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    45230
    37110
    56990
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    121750
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    78010
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    90040
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    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
    63100
    54790
    65740
    54600
    86260
    59010
    60080
    34450
    49210
    71730
    86290
    56910
    38060
    58900
    49720
    98760
    128340
    61930
    69900
    81950
    68380
    86070
    42200
    54620
    69300
    37720
    63870
    79960
    54580
    65890
    87710
    96110
    106700
    57080
    58660
    59400
    65430
    62160
    68560
    78760
    79090
    88190
    62580
    45470
    79850
    67410
    57580
    42500
    54680
    101500
    59910
    86790
    92220
    79510
    93830
    54560
    69430
    59080
    62170
    63420

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