You correctly solved almost all the problems and fairly complete and detailed steps are provided to explain how to solve each. Your explanations demonstrate a proficient understanding of most of the statistical concepts and correct terminology is used th


You correctly solved almost all the problems and fairly complete and  detailed steps are provided to explain how to solve each.  Your  explanations demonstrate a proficient understanding of most of the  statistical concepts and correct terminology is used throughout.

Make sure that you are showing how you find the criical values used  in each confidence interval.  Using Excel is the easiest and most  straight-forward, but if you are using a table or an outside source make  sure it is cited.

All of your calculations on the confidence intervals are good, just  make sure you are fully describing the steps you took in finding each in  the Word document.

Your work on #5 is incorrect.  There is a specific formula to be  applied that will use the information given in the problem to find the  minimum sample size necessary.
Blank form is below and the answers I had. I just need the right answers inserted in the areas that are wrong.


Job Title Salary
Accountants and Auditors 63,910 At 95% Confidence I At 99% Confidence interval
Actuaries 84,190 Mean $62,306.13 Mean $62,306.13
Administrative Law Judges, Adjudicators, and Hearing Officers 117,110 Standard Deviation 19149.21 Standard Deviation 19149.2138556592
Administrative Services Managers 94,450 Sample Size 364.00 Sample Size 364
Adult Basic and Secondary Education and Literacy Teachers and Instructors 43,500 Confidence coff 1.96 Confidence coff 2.58
Advertising and Promotions Managers 75,710 Margin of Error $1,967.24 Margin of Error $ 2,589.52
Advertising Sales Agents 46,100 Upper Bound $64,273.36 Upper Bound $ 64,895.65
Aerospace Engineering and Operations Technicians 59,800 Lower Bound $60,338.89 Lower Bound $ 59,716.60
Aerospace Engineers 104,730 Maximum $119,850.00 Maximum
Agents and Business Managers of Artists, Performers, and Athletes 77,690 Minimum $40,170.00 Minimum
Agricultural and Food Science Technicians 44,470 Range $79,680.00 Range
Agricultural Inspectors 43,470
Agricultural Sciences Teachers, Postsecondary 92,010
Air Traffic Controllers 94,030
Aircraft Cargo Handling Supervisors 44,890
Aircraft Structure, Surfaces, Rigging, and Systems Assemblers 42,410
Airfield Operations Specialists 52,740
Airline Pilots, Copilots, and Flight Engineers 98,480
Anthropologists and Archeologists 43,970
Appraisers and Assessors of Real Estate 50,150
Arbitrators, Mediators, and Conciliators 56,700
Architects, Except Landscape and Naval 75,440
Architectural and Civil Drafters 46,470
Architecture and Engineering Occupations 79,910
Architecture Teachers, Postsecondary 79,040
Archivists 60,560
Art Directors 76,280
Art, Drama, and Music Teachers, Postsecondary 57,210
Athletic Trainers 42,330
Atmospheric and Space Scientists 84,390
Atmospheric, Earth, Marine, and Space Sciences Teachers, Postsecondary 92,630
Audiologists 53,830
Avionics Technicians 56,440
Biomedical Engineers 85,810
Boilermakers 55,870
Broadcast News Analysts 84,830
Brokerage Clerks 43,690
Budget Analysts 73,650
Business and Financial Operations Occupations 66,890
Business Operations Specialists, All Other 77,280
Business Teachers, Postsecondary 78,240
Buyers and Purchasing Agents, Farm Products 63,490
Camera and Photographic Equipment Repairers 41,910
Captains, Mates, and Pilots of Water Vessels 69,080
Cardiovascular Technologists and Technicians 44,690
Career/Technical Education Teachers, Middle School 53,190
Career/Technical Education Teachers, Secondary School 53,480
Cargo and Freight Agents 45,610
Cartographers and Photogrammetrists 54,170
Chefs and Head Cooks 45,090
Chemical Engineers 92,420
Chemical Equipment Operators and Tenders 52,430
Chemical Plant and System Operators 52,710
Chemical Technicians 43,370
Chemistry Teachers, Postsecondary 71,100
Chemists 70,740
Child, Family, and School Social Workers 40,580
Chiropractors 80,690
Civil Engineers 71,890
Claims Adjusters, Examiners, and Investigators 58,870
Clinical, Counseling, and School Psychologists 85,800
Coil Winders, Tapers, and Finishers 48,260
Commercial and Industrial Designers 48,120
Commercial Pilots 83,940
Communications Equipment Operators, All Other 40,600
Communications Teachers, Postsecondary 64,250
Community and Social Service Occupations 41,400
Community Health Workers 42,490
Compensation and Benefits Managers 87,210
Compensation, Benefits, and Job Analysis Specialists 56,600
Compliance Officers 62,600
Computer and Information Research Scientists 103,900
Computer and Information Systems Managers 119,170
Computer and Mathematical Occupations 73,780
Computer Hardware Engineers 99,980
Computer Network Architects 88,400
Computer Network Support Specialists 55,990
Computer Occupations, All Other 83,170
Computer Programmers 80,490
Computer Science Teachers, Postsecondary 91,360
Computer Systems Analysts 79,200
Computer User Support Specialists 45,150
Conservation Scientists 71,400
Construction and Building Inspectors 49,630
Construction Managers 89,680
Continuous Mining Machine Operators 42,760
Control and Valve Installers and Repairers, Except Mechanical Door 41,050
Conveyor Operators and Tenders 40,400
Cost Estimators 56,980
Crane and Tower Operators 43,910
Credit Analysts 50,290
Credit Counselors 43,360
Criminal Justice and Law Enforcement Teachers, Postsecondary 57,230
Curators 48,470
Database Administrators 70,120
Dental Hygienists 46,530
Derrick Operators, Oil and Gas 44,610
Detectives and Criminal Investigators 57,820
Diagnostic Medical Sonographers 47,760
Dietitians and Nutritionists 46,720
Directors, Religious Activities and Education 41,590
Drafters, All Other 48,090
Economics Teachers, Postsecondary 96,290
Economists 104,280
Editors 46,760
Education Administrators, All Other 81,870
Education Administrators, Elementary and Secondary School 77,880
Education Administrators, Postsecondary 95,040
Education Administrators, Preschool and Childcare Center/Program 61,290
Education Teachers, Postsecondary 57,390
Education, Training, and Library Occupations 45,000
Educational, Guidance, School, and Vocational Counselors 50,820
Electric Motor, Power Tool, and Related Repairers 41,380
Electrical and Electronics Drafters 61,360
Electrical and Electronics Engineering Technicians 56,160
Electrical and Electronics Installers and Repairers, Transportation Equipment 52,450
Electrical and Electronics Repairers, Commercial and Industrial Equipment 52,650
Electrical and Electronics Repairers, Powerhouse, Substation, and Relay 63,870
Electrical Engineers 91,040
Electrical Power-Line Installers and Repairers 59,730
Electricians 43,200
Electro-Mechanical Technicians 49,150
Electronics Engineers, Except Computer 100,310
Elementary School Teachers, Except Special Education 48,970
Elevator Installers and Repairers 67,930
Embalmers 46,100
Emergency Management Directors 67,970
Engineering Technicians, Except Drafters, All Other 62,320
English Language and Literature Teachers, Postsecondary 52,330
Environmental Engineering Technicians 48,520
Environmental Engineers 69,970
Environmental Science and Protection Technicians, Including Health 42,510
Environmental Science Teachers, Postsecondary 78,700
Environmental Scientists and Specialists, Including Health 58,640
Epidemiologists 59,130
Executive Secretaries and Executive Administrative Assistants 52,530
Exercise Physiologists 43,150
Explosives Workers, Ordnance Handling Experts, and Blasters 49,580
Extruding, Forming, Pressing, and Compacting Machine Setters, Operators, and Tenders 41,190
Farm and Home Management Advisors 49,430
Film and Video Editors 43,940
Financial Analysts 93,970
Financial Clerks, All Other 42,830
Financial Examiners 78,040
Financial Managers 116,110
Financial Specialists, All Other 67,910
Fire Inspectors and Investigators 47,100
Firefighters 40,590
First-Line Supervisors of Construction Trades and Extraction Workers 55,990
First-Line Supervisors of Correctional Officers 53,470
First-Line Supervisors of Farming, Fishing, and Forestry Workers 46,170
First-Line Supervisors of Fire Fighting and Prevention Workers 57,160
First-Line Supervisors of Helpers, Laborers, and Material Movers, Hand 44,310
First-Line Supervisors of Landscaping, Lawn Service, and Groundskeeping Workers 40,300
First-Line Supervisors of Mechanics, Installers, and Repairers 59,010
First-Line Supervisors of Non-Retail Sales Workers 74,600
First-Line Supervisors of Office and Administrative Support Workers 49,740
First-Line Supervisors of Police and Detectives 62,800
First-Line Supervisors of Production and Operating Workers 55,630
First-Line Supervisors of Protective Service Workers, All Other 44,570
First-Line Supervisors of Transportation and Material-Moving Machine and Vehicle Operators 52,950
Fish and Game Wardens 46,110
Food Service Managers 59,820
Foreign Language and Literature Teachers, Postsecondary 55,340
Forensic Science Technicians 41,700
Forest and Conservation Technicians 43,210
Foresters 56,020
Forestry and Conservation Science Teachers, Postsecondary 90,080
Fundraisers 51,930
Funeral Service Managers 53,210
Gaming Supervisors 43,260
Gas Compressor and Gas Pumping Station Operators 56,220
Gas Plant Operators 61,780
General and Operations Managers 119,850
Geography Teachers, Postsecondary 67,430
Geological and Petroleum Technicians 58,700
Geoscientists, Except Hydrologists and Geographers 71,260
Health and Safety Engineers, Except Mining Safety Engineers and Inspectors 88,670
Health Diagnosing and Treating Practitioners, All Other 56,990
Health Educators 44,920
Health Specialties Teachers, Postsecondary 108,160
Health Technologists and Technicians, All Other 43,140
Healthcare Practitioners and Technical Occupations 63,080
Healthcare Social Workers 44,080
Hearing Aid Specialists 42,170
Historians 62,210
History Teachers, Postsecondary 56,050
Hoist and Winch Operators 54,330
Home Economics Teachers, Postsecondary 71,420
Human Resources Managers 93,630
Human Resources Specialists 58,160
Industrial Engineering Technicians 57,510
Industrial Engineers 81,330
Industrial Machinery Mechanics 48,790
Industrial Production Managers 93,500
Information and Record Clerks, All Other 41,230
Information Security Analysts 78,810
Installation, Maintenance, and Repair Occupations 42,340
Instructional Coordinators 65,060
Insurance Appraisers, Auto Damage 75,530
Insurance Sales Agents 54,050
Insurance Underwriters 52,330
Interior Designers 46,540
Judges, Magistrate Judges, and Magistrates 58,140
Kindergarten Teachers, Except Special Education 47,990
Labor Relations Specialists 50,100
Landscape Architects 72,760
Lawyers 106,790
Layout Workers, Metal and Plastic 47,290
Legal Occupations 81,140
Legal Support Workers, All Other 51,570
Librarians 52,340
Library Science Teachers, Postsecondary 60,360
Life Scientists, All Other 55,510
Life, Physical, and Social Science Occupations 58,420
Loading Machine Operators, Underground Mining 41,270
Loan Officers 67,070
Locomotive Engineers 55,900
Logging Workers, All Other 41,940
Logisticians 81,280
Magnetic Resonance Imaging Technologists 55,430
Management Analysts 90,310
Managers, All Other 94,950
Marine Engineers and Naval Architects 57,230
Market Research Analysts and Marketing Specialists 58,340
Marketing Managers 111,320
Marriage and Family Therapists 43,780
Materials Engineers 95,030
Mathematical Science Teachers, Postsecondary 62,740
Mechanical Drafters 52,840
Mechanical Engineering Technicians 51,900
Mechanical Engineers 83,370
Media and Communication Equipment Workers, All Other 66,370
Medical and Clinical Laboratory Technologists 52,900
Medical and Health Services Managers 93,750
Medical Equipment Repairers 44,240
Meeting, Convention, and Event Planners 45,020
Mental Health Counselors 42,720
Metal-Refining Furnace Operators and Tenders 44,330
Middle School Teachers, Except Special and Career/Technical Education 48,830
Millwrights 43,300
Mine Cutting and Channeling Machine Operators 46,410
Mine Shuttle Car Operators 53,150
Mining and Geological Engineers, Including Mining Safety Engineers 81,970
Mining Machine Operators, All Other 45,660
Mixing and Blending Machine Setters, Operators, and Tenders 40,740
Mobile Heavy Equipment Mechanics, Except Engines 43,340
Model Makers, Metal and Plastic 41,780
Morticians, Undertakers, and Funeral Directors 40,170
Multimedia Artists and Animators 57,700
Music Directors and Composers 48,190
Natural Sciences Managers 113,650
Network and Computer Systems Administrators 68,990
Nuclear Engineers 110,620
Nuclear Medicine Technologists 55,820
Nuclear Technicians 59,630
Nurse Practitioners 88,320
Nursing Instructors and Teachers, Postsecondary 66,660
Occupational Health and Safety Specialists 66,150
Occupational Health and Safety Technicians 49,620
Occupational Therapists 73,260
Occupational Therapy Assistants 55,190
Operations Research Analysts 87,680
Optometrists 96,210
Orthotists and Prosthetists 62,630
Painters, Transportation Equipment 41,180
Paper Goods Machine Setters, Operators, and Tenders 41,360
Paralegals and Legal Assistants 45,510
Patternmakers, Metal and Plastic 40,310
Personal Financial Advisors 101,700
Petroleum Pump System Operators, Refinery Operators, and Gaugers 54,140
Pharmacists 119,020
Philosophy and Religion Teachers, Postsecondary 61,760
Physical Therapist Assistants 53,710
Physical Therapists 83,460
Physician Assistants 88,680
Physicists 108,740
Physics Teachers, Postsecondary 78,630
Plant and System Operators, All Other 67,440
Plumbers, Pipefitters, and Steamfitters 40,170
Podiatrists 112,230
Police and Sheriff’s Patrol Officers 41,040
Political Science Teachers, Postsecondary 66,490
Postal Service Clerks 45,400
Postal Service Mail Carriers 49,350
Postal Service Mail Sorters, Processors, and Processing Machine Operators 48,360
Postmasters and Mail Superintendents 68,750
Power Distributors and Dispatchers 70,530
Power Plant Operators 60,720
Precision Instrument and Equipment Repairers, All Other 46,990
Private Detectives and Investigators 57,620
Probation Officers and Correctional Treatment Specialists 43,000
Producers and Directors 50,920
Production, Planning, and Expediting Clerks 46,020
Property, Real Estate, and Community Association Managers 67,390
Psychologists, All Other 86,080
Psychology Teachers, Postsecondary 68,910
Public Relations and Fundraising Managers 89,080
Public Relations Specialists 47,070
Pump Operators, Except Wellhead Pumpers 41,850
Purchasing Agents, Except Wholesale, Retail, and Farm Products 63,950
Purchasing Managers 104,300
Radiation Therapists 68,470
Radio, Cellular, and Tower Equipment Installers and Repairers 45,510
Radiologic Technologists 45,460
Rail Yard Engineers, Dinkey Operators, and Hostlers 49,580
Railroad Conductors and Yardmasters 52,200
Rail-Track Laying and Maintenance Equipment Operators 46,320
Real Estate Brokers 70,520
Real Estate Sales Agents 56,600
Recreation and Fitness Studies Teachers, Postsecondary 61,300
Recreational Vehicle Service Technicians 42,230
Refractory Materials Repairers, Except Brickmasons 47,440
Registered Nurses 55,870
Reinforcing Iron and Rebar Workers 40,590
Respiratory Therapists 46,200
Rolling Machine Setters, Operators, and Tenders, Metal and Plastic 41,290
Roof Bolters, Mining 54,150
Rotary Drill Operators, Oil and Gas 41,470
Sales Engineers 99,260
Sales Managers 111,910
Sales Representatives, Services, All Other 48,230
Sales Representatives, Wholesale and Manufacturing, Except Technical and Scientific Products 63,400
Sales Representatives, Wholesale and Manufacturing, Technical and Scientific Products 79,450
Secondary School Teachers, Except Special and Career/Technical Education 50,170
Securities, Commodities, and Financial Services Sales Agents 82,560
Service Unit Operators, Oil, Gas, and Mining 48,010
Set and Exhibit Designers 54,620
Ship Engineers 69,300
Signal and Track Switch Repairers 52,340
Social and Community Service Managers 61,440
Social Scientists and Related Workers, All Other 80,010
Social Work Teachers, Postsecondary 67,040
Social Workers, All Other 60,040
Sociology Teachers, Postsecondary 59,760
Software Developers, Applications 91,070
Software Developers, Systems Software 96,290
Soil and Plant Scientists 60,470
Sound Engineering Technicians 41,870
Special Education Teachers, All Other 55,310
Special Education Teachers, Kindergarten and Elementary School 50,810
Special Education Teachers, Middle School 52,200
Special Education Teachers, Secondary School 52,390
Speech-Language Pathologists 65,140
Stationary Engineers and Boiler Operators 46,730
Statisticians 58,210
Surveyors 51,410
Tank Car, Truck, and Ship Loaders 48,810
Tax Examiners and Collectors, and Revenue Agents 53,860
Technical Writers 59,590
Telecommunications Equipment Installers and Repairers, Except Line Installers 50,940
Tire Builders 42,500
Tool and Die Makers 46,750
Training and Development Managers 87,630
Training and Development Specialists 57,180
Transportation Inspectors 65,650
Transportation, Storage, and Distribution Managers 86,090
Urban and Regional Planners 58,590
Veterinarians 79,820
Water and Wastewater Treatment Plant and System Operators 42,750
Web Developers 50,610
Wholesale and Retail Buyers, Except Farm Products 55,700
Writers and Authors 54,250
Zoologists and Wildlife Biologists 59,000



Jeff Rover

Inferential Statistics and Analytics

Rasmussen College


Deliverable 03 Worksheet

1. Discuss the importance of constructing confidence intervals for the population mean by answering these questions.

· What are confidence intervals?

· What is a point estimate?

· What is the best point estimate for the population mean? Explain.

· Why do we need confidence intervals?

Answer and Explanation:

Enter your step-by-step answer and explanations here.

· Confidence intervals refers to a measure of probability that a given population parameter will fall between the two set values. It expresses both uncertainty and precision of a sampling method used by giving a range of values. It consist of confidence level, margin of error and a statistic.

· Point estimate is a single value used as static, which is to estimate a parameter in a given population. For example a sample mean of a population, standard deviation and sample variance.

· Sample means is the best point estimate for population means.

· Confidence intervals are important in statistics as they help in explaining uncertainty that is associated with any sampling method used. Usually, there is an error associated with sampling method used. This marginal error is expressed by use of confidence intervals.

2. Using the data from the Excel workbook, construct a 
 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.

Answer and Explanation:

Enter your step-by-step answer and explanations here.

· At 95% confidence level, the coefficient is 1.96.

· Confidence interval is therefore calculated as;

Sample mean coefficient X (sample standard deviation/square roof of sample size.

From the calculation, the salary upper bound is $64,273 while the lower bound is $60,338. It means we are 95% confident that the mean salary of people working in Minnesota is between $60,338- $64,273.

3. Using the data from the Excel workbook, construct a 
 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.

Answer and Explanation:

Enter your step-by-step answer and explanations here

We are 99% confident that the mean salary for workers in Minnesota is between $64,896 and $59,717.

4. Compare your answers for (2) and (3). You notice that the 99% confidence interval is wider. What is the advantage of using a wider confidence interval? Why would you not always use the 99% confidence interval? Explain with an example.

Answer and Explanation:

Enter your step-by-step answer and explanations here.

At 95% confidence interval is between $64,273 and $60,338 while at 99%, confidence interval is $64,896 and $59,717. This show that at 99%, confidence interval range is $5,179. Compared to 95%, confidence interval range is $3,935. This confirms that as we increase confidence level, confidence interval widens.

At 99% confidence interval is not the best. Wider interval does not give a better estimate.

5. We want to estimate the mean salary in Minnesota. How many jobs must be randomly selected for their respective mean salaries if we want 95% confidence that the sample mean is within $126 of the population mean and σ = $1150.

Is the current sample size of the data set in our excel document of 364 large enough? Explain.

Answer and Explanation:

Enter your step-by-step answer and explanations here.

At 95% confidence interval is $64,273

Sample mean should be $126+$62306=$62,422


64,273=62,422+196 X 19149/n^0.5


Therefore the five jobs can be randomly selected

The sample size of 364 is large enough for our analysis. It allow is to use Central Limit Theorem

Needs help with similar assignment?

We are available 24x7 to deliver the best services and assignment ready within 3-4 hours? Order a custom-written, plagiarism-free paper

Order Over WhatsApp Place an Order Online