A Statistical Study about:-"Family Size, Monthly Income & Expenditure of Households in DDA" Consus Survey: The 2010EC Survey of the DDA found that the Average Monthly Income(MI) & Monthly Expenditure(ME) of the Household(HH) in DD City were respectively: mu_(MI)=Br 10,000 & mu_(ME)=Br 8,500 SURVEY Assignment "What is the Average Monthly Income & Expenditure of Households in DD City?" NOTE: This year, 2016EC, there are about 500,00 Peoples are living in the city and the total number of Households DD City also estimated to 120,000 . A Student Statistician who is Learning Business Statistics wants to answer the above question by estimating the Monthly Income ( bar(x)_(ML) ) and Monthly Expenditure ( bar(x)_(ME)) of the households. However, because of lack of time and money, the student statistician used Cluster Sampling Method and collected data only from 15% of the total households. The Result of the Analysis of Sample Data shows that that: The Average MI of Sample HH is bar(x)_(I)=B irr 13,500, & its Standard Deviation sigma_(I)=1,200 The Average ME of Sample HH is bar(x)_(E)=B irr 12,500 & its Standard Deviation sigma_(E)=1,200 ✓ Then use the above information to Answer the following Questions: fro PART I: SHORT ANSWER: Then use the above information to Answer the following The Population of the survey is The Total Population Size of the survey is The Sample Size of the survey is The Study Unit is/are The Sampling Unit of the Study is The Sampling Fraction {:(K=K=(N)/(n))) of the Study is The type of Sampling Technique the student Statistician used is possibly Is this Survey Assignment, carried out by a Student a Census Survey or Sample Survey? Between 2010 EC & 2015 EC the MI of the Sample HH increase by ◻ Birr Between 2010EC & 2015EC the ME of the Sample HH increase by ◻ Birr Between 2010EC and 2015EC the Average MI of the Sample HH increase by ◻ % Between 2010EC and 2015 EC the Average ME of the Sample HH increase by ◻ % Between 2010EC and 2015EC , which increases greatly, the M or ME of the Sample HH? ◻ Is this Survey Assignment, carried out by a Student a Census Survey or Sample Survey? qquad Assume that the student statistician Organized & Presented the collected data using Table & Diagram. If the student calculated and discusses about the Mean, Median/Middle and Modal Monthly Income of Sample HH, then the Statistical Approach used is possibly ◻ If the student statistician calculated Average MI of Sample HH and discusses about the number of Sample HH who Earns above & below the Average MI and the Variability of the income among the Sample HH, then the Statistical Approach used is possibly ◻ If this student used the result obtained from the analysis of sample data to generalize about as well as to estimate the Average MI & ME of the whole Households in DDA, then the Statistical Approach used is possibly ◻ If this student used the result obtained from the analysis of sample data to estimate the MI&ME of the whole HH by the year 2019 EC or by 2050 , then the Statistical Approach used is possibly ◻ Suppose that Molla works as a Security Guard at Ras Hotel and his wife Jemila works as a Nurse at Dil Choral Hospital, and they also have three children. Then based on this survey the estimated MI & ME of Molla's family(in 2015) will be qquad & ◻ The Student Statistician used the result obtained form the Sample Analysis to make inference about the MI and ME of all the Households in DDA. Then based on this survey the student's (a) Point Estimate for the mean MI of all Households Population in DD City is ◻ (b) Point Estimate for the mean ME of all Households Population in DD City is ◻

Question

A Statistical Study about:-"Family Size, Monthly Income & Expenditure of Households in DDA" Consus Survey: The 2010EC Survey of the DDA found that the Average Monthly Income(MI) & Monthly Expenditure(ME) of the Household(HH) in DD City were respectively: mu_(MI)=Br 10,000 & mu_(ME)=Br 8,500 SURVEY Assignment "What is the Average Monthly Income & Expenditure of Households in DD City?" NOTE: This year, 2016EC, there are about 500,00 Peoples are living in the city and the total number of Households DD City also estimated to 120,000 . A Student Statistician who is Learning Business Statistics wants to answer the above question by estimating the Monthly Income ( bar(x)_(ML) ) and Monthly Expenditure ( bar(x)_(ME)) of the households. However, because of lack of time and money, the student statistician used Cluster Sampling Method and collected data only from 15% of the total households. The Result of the Analysis of Sample Data shows that that: The Average MI of Sample HH is bar(x)_(I)=B irr 13,500, & its Standard Deviation sigma_(I)=1,200 The Average ME of Sample HH is bar(x)_(E)=B irr 12,500 & its Standard Deviation sigma_(E)=1,200 ✓ Then use the above information to Answer the following Questions: fro PART I: SHORT ANSWER: Then use the above information to Answer the following The Population of the survey is The Total Population Size of the survey is The Sample Size of the survey is The Study Unit is/are The Sampling Unit of the Study is The Sampling Fraction {:(K=K=(N)/(n))) of the Study is The type of Sampling Technique the student Statistician used is possibly Is this Survey Assignment, carried out by a Student a Census Survey or Sample Survey? Between 2010 EC & 2015 EC the MI of the Sample HH increase by ◻ Birr Between 2010EC & 2015EC the ME of the Sample HH increase by ◻ Birr Between 2010EC and 2015EC the Average MI of the Sample HH increase by ◻ % Between 2010EC and 2015 EC the Average ME of the Sample HH increase by ◻ % Between 2010EC and 2015EC , which increases greatly, the M or ME of the Sample HH? ◻ Is this Survey Assignment, carried out by a Student a Census Survey or Sample Survey? qquad Assume that the student statistician Organized & Presented the collected data using Table & Diagram. If the student calculated and discusses about the Mean, Median/Middle and Modal Monthly Income of Sample HH, then the Statistical Approach used is possibly ◻ If the student statistician calculated Average MI of Sample HH and discusses about the number of Sample HH who Earns above & below the Average MI and the Variability of the income among the Sample HH, then the Statistical Approach used is possibly ◻ If this student used the result obtained from the analysis of sample data to generalize about as well as to estimate the Average MI & ME of the whole Households in DDA, then the Statistical Approach used is possibly ◻ If this student used the result obtained from the analysis of sample data to estimate the MI&ME of the whole HH by the year 2019 EC or by 2050 , then the Statistical Approach used is possibly ◻ Suppose that Molla works as a Security Guard at Ras Hotel and his wife Jemila works as a Nurse at Dil Choral Hospital, and they also have three children. Then based on this survey the estimated MI & ME of Molla's family(in 2015) will be qquad & ◻ The Student Statistician used the result obtained form the Sample Analysis to make inference about the MI and ME of all the Households in DDA. Then based on this survey the student's (a) Point Estimate for the mean MI of all Households Population in DD City is ◻ (b) Point Estimate for the mean ME of all Households Population in DD City is ◻

Answer 1

1. The Population of the survey is households in DD city.2. The Total Population Size of the survey is 120,000 households.3. The Sample Size of the survey is 18,000 households.4. The Study Unit is Household Monthly Income and Household Monthly Expenditure.5. The Sampling Unit of the Study is a household.6. The Sampling Fraction (K=N/n) of the Study is 120,000/18,000 = 6.670 (approximately).7. The type of Sampling Technique the student Statistician used is Cluster Sampling.8. This Survey Assignment, carried out by a Student is a Sample Survey (evidenced by the sampling fraction being less than 1)9. Between 2010 and 2016, the Sample MI increased by 3,500 (13,500 - 10,000).10. Between 2010 and 2016, the Sample ME increased by 4,000 (12,500 - 8,500).11. Identical to Question 9.12. Identical to Question 10.13. Between 2010 and 2016, the Sample household's Monthly Expenditure (ME) increased more than Monthly Income (MI).14. Identical to Question 8.15. The Statistical Approach will be Descriptive Statistics in this case.16. The Statistical Approach will also be Descriptive Statistics in this case.17. This Statistical Approach will employ Inferential Statistics.18. The Statistical Approach will be making Projections or Forecasts, so it will be a form of Predictive Modeling.19. This is not answerable since personal data of an individual's income and expenditure in the named locations is not given.20a. The Point Estimate for the Mean MI of all household population in DD City is Birr 13,500.20b. The Point Estimate for the Mean ME of all household population in DD City is Birr 12,500.

Answer 2

For all the answers below, the following is assumed:- Total population: 500,00 people- Total households (N): 120,000 - MI: Monthly Income- ME: Monthly Expenditure- HH: Household- Sampled HH (%): 15% of total HH- Sampled HH (n): 15% * 120,000 = 18,000 HH - Average MI in 2010: Br10,000 - Average MIE in 2010: Br8,500- Average MI in 2016: 13,500 - Standard Deviation of MI in 2016: 1,200 - Average ME in 2016: 12,500 - Standard Deviation of ME in 2016: 1,200Please note there're complete definition assumptions for some questions where data was lacking. Calculations are made using the provided data.

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