Assignment Details

(Appendix A is included at the end of questions and contains data on all 50 employees in Co. XYZ)

Question 1

1. What proportion of staff is female?
2. What proportion of staff is male?
3. What is the average level of job satisfaction?

Question 2

1. Using the Research randomizer on Moodle, or otherwise, choose a random sample of 36 employees from Appendix A
2. How many samples of size 36 is it possible to get from a population of size 50?
3. Grouping the sample data into class intervals, construct a frequency distribution
4. Present the frequency distribution as a histogram
5. From the frequency distribution estimate:

1. The sample average
2. The sample standard deviation
3. The sample median value

Question 3

1. Using your answers to Q2 v) a) and b) above calculate a 95% confidence interval for the true population average income
2. 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