Using The Research Randomizer On Moodle, Or Otherwise, Choose A Random Sample Of 36 Employees From Appendix A
Assignment Details
(Appendix A is included at the end of questions and contains data on all 50 employees in Co. XYZ)
Question 1
- What proportion of staff is female?
- What proportion of staff is male?
- What is the average level of job satisfaction?
Question 2
- Using the Research randomizer on Moodle, or otherwise, choose a random sample of 36 employees from Appendix A
- How many samples of size 36 is it possible to get from a population of size 50?
- Grouping the sample data into class intervals, construct a frequency distribution
- Present the frequency distribution as a histogram
- From the frequency distribution estimate:
- The sample average
- The sample standard deviation
- The sample median value
- Using your answers to Q2 v) a) and b) above calculate a 95% confidence interval for the true population average income
- Calculate the true population average income from Appendix A and compare it to your confidence interval.
APPENDIX A
Nominal Ratio Ordinal
| Assignment Details (Appendix A is included at the end of questions and contains data on all 50 employees in Co. XYZ) Question 1 What proportion of staff is female? What proportion of staff is male? What is the average level of job satisfaction? Question 2 Using the Research randomizer on Moodle, or otherwise, choose a random sample of 36 employees from Appendix A How many samples of size 36 is it possible to get from a population of size 50? Grouping the sample data into class intervals, construct a frequency distribution Present the frequency distribution as a histogram From the frequency distribution estimate: The sample average The sample standard deviation The sample median value Using your answers to Q2 v) a) and b) above calculate a 95% confidence interval for the true population average income Calculate the true population average income from Appendix A and compare it to your confidence interval. APPENDIX A Nominal Ratio Ordinal Employee No. Gender(Male =1, Female = 2) Annual Salary(€) Job Satisfaction(5:v.satisfied,4:satisfied, 3:neither, 2:dissatisfied, 1:v.dissatisfied) 1 1 45000 5 2 1 32000 3 3 1 39000 5 4 2 53000 1 5 1 46000 1 6 2 40000 4 7 1 55000 1 8 2 35000 5 9 1 55000 2 10 1 42000 4 11 1 37000 4 12 2 39000 5 13 1 46000 5 14 1 54000 4 15 1 31000 1 16 2 42000 2 17 1 37000 3 18 2 50000 5 19 1 51000 4 20 2 33000 2 21 1 33000 3 22 2 47000 1 23 1 43000 5 24 1 46000 2 25 1 58000 1 26 2 38000 4 27 1 53000 2 28 2 37000 1 29 1 43000 3 30 2 42000 3 31 1 36000 3 32 1 41000 4 33 1 50000 2 34 2 43000 1 35 1 47000 1 36 2 59000 2 37 1 31000 2 38 2 32000 1 39 1 58000 4 40 2 45000 4 41 1 40000 2 42 2 46000 1 43 1 48000 3 44 2 48000 1 45 1 56000 2 46 2 47000 2 47 2 30000 4 48 1 34000 4 49 1 50000 2 50 1 34000 1 Employee No. | Gender(Male =1, Female = 2) | Annual Salary(€) | Job Satisfaction(5:v.satisfied,4:satisfied, 3:neither, 2:dissatisfied, 1:v.dissatisfied) |
| 1 | 1 | 45000 | 5 |
| 2 | 1 | 32000 | 3 |
| 3 | 1 | 39000 | 5 |
| 4 | 2 | 53000 | 1 |
| 5 | 1 | 46000 | 1 |
| 6 | 2 | 40000 | 4 |
| 7 | 1 | 55000 | 1 |
| 8 | 2 | 35000 | 5 |
| 9 | 1 | 55000 | 2 |
| 10 | 1 | 42000 | 4 |
| 11 | 1 | 37000 | 4 |
| 12 | 2 | 39000 | 5 |
| 13 | 1 | 46000 | 5 |
| 14 | 1 | 54000 | 4 |
| 15 | 1 | 31000 | 1 |
| 16 | 2 | 42000 | 2 |
| 17 | 1 | 37000 | 3 |
| 18 | 2 | 50000 | 5 |
| 19 | 1 | 51000 | 4 |
| 20 | 2 | 33000 | 2 |
| 21 | 1 | 33000 | 3 |
| 22 | 2 | 47000 | 1 |
| 23 | 1 | 43000 | 5 |
| 24 | 1 | 46000 | 2 |
| 25 | 1 | 58000 | 1 |
| 26 | 2 | 38000 | 4 |
| 27 | 1 | 53000 | 2 |
| 28 | 2 | 37000 | 1 |
| 29 | 1 | 43000 | 3 |
| 30 | 2 | 42000 | 3 |
| 31 | 1 | 36000 | 3 |
| 32 | 1 | 41000 | 4 |
| 33 | 1 | 50000 | 2 |
| 34 | 2 | 43000 | 1 |
| 35 | 1 | 47000 | 1 |
| 36 | 2 | 59000 | 2 |
| 37 | 1 | 31000 | 2 |
| 38 | 2 | 32000 | 1 |
| 39 | 1 | 58000 | 4 |
| 40 | 2 | 45000 | 4 |
| 41 | 1 | 40000 | 2 |
| 42 | 2 | 46000 | 1 |
| 43 | 1 | 48000 | 3 |
| 44 | 2 | 48000 | 1 |
| 45 | 1 | 56000 | 2 |
| 46 | 2 | 47000 | 2 |
| 47 | 2 | 30000 | 4 |
| 48 | 1 | 34000 | 4 |
| 49 | 1 | 50000 | 2 |
| 50 | 1 | 34000 | 1 |
