STAT 200 - STAT 200 Week 1 Homework Problems

STAT 200 - STAT 200 Week 1 Homework Problems To estimate the percentage of households in Connecticut which use fuel oil as a heating source, a researcher collects information from 1000 Connecticut households about what fuel is their heating source. State the individual, variable, population, sample, parameter, and statistic 1. Individual- Households in Connecticut 2. Variable- What fuel is their heating source 3. Population- Connecticut house holds 4. Sample- 1000 Connecticut households 5. Parameter- The percentage of households in Connecticut which use fuel as a heating source 6. Statistic-Percentage of how many people use fuel oil versus the other heating sources The World Health Organization wishes to estimate the mean density of people per square kilometer, they collect data on 56 countries. State the individual, variable, population, sample, parameter, and statistic 1. Individual-56 countries 2. Variable- Data on 56 countries 3. Population-The world 4. Sample-Data on 56 countries 5. Parameter- Mean density people per square kilometer 6. Statistic-Estimation of the mean density of people per square kilometer You wish to determine the GPA of students at your school. Describe what process you would go through to collect a sample if you use a stratified sample. When using stratified sampling it is best to divide into sub populations. In College you’ll have your 1. First Year- Freshman Undergraduate 2. Second Year- Sophomore Undergraduate 3. Third Year-Junior Undergraduate 4. Fourth Year - Senior Undergraduate 5. Fifth Year -Graduates Colleges are very different from Highschool or Elementary school where in Highschool you have Nineth-12th Grade and I could easily ask 25 random students from each grade what their GPA is and then find an average for each. We also must break them into subpopulations based off the Degree they wish to achieve, this is when we will have to simplify because UMGC offers over 90 different program types so we will have to decide exactly what field of study we would like to find the GPA. I decided to go with the Main 8 on the UMGC website front page. 1. Business Management 2. Cyber Security 3. Data Analytics 4. Education and Teaching 5. Health Care and Science 6. It & Computer Science 7. Liberal Arts and Communication 8. Public Safety 1st Business Cyber Data Education Health IT & A& Public Yr. Management Securit Analytic and Care Compute C Safety y s Training and r Scienc e 2nd Business Cyber Data Education Health IT & Public Yr. Management Securit Analytic And Care Compute A& Safety y s Training and r C Scienc e 3RD Business Cyber Data Education Health IT & A& Public Yr. Management Securit Analytic And Care Compute C Safety y s Training and r Scienc e 4th Business Cyber Data Education Health IT & A& Public Yr. Management Securit Analytic And Care Compute C Safety y s Training and r Scienc e • I will ask 25 students from each group that is above in the table. Ex- 25 students from 1st year Business Management, 25 students from 2nd year Business Management, 25 Students from 3rd Year Business Management, and 4th Year Business Management and so on. • I will then find the average for each year. Ex- Average of 25 students in 1st Year Business Management Studies is 3.40, Average for Students in 2nd Year Business Management Studies is 3.20 etc. • After I find the average from each year then I will find the Average GPA for each Major by adding all the GPAs from each Year and then dividing by 4. Ex- 3.40 +3.20 + X + Y = G, G/4= Average GPA for Major