Question
The Global Social Mobility Report 2020 ranked Singapore 20th out of 82 countries studied. After reading the report, Mr. Tan, a student at the Singapore
The Global Social Mobility Report 2020 ranked Singapore 20th out of 82 countries studied. After reading the report, Mr. Tan, a student at the Singapore University of Social Sciences, was interested to estimate income mobility across generations in Singapore. He surveyed a random sample of 120 students from the Singapore University of Social Sciences, and collected data on monthly income of their father and their oldest sibling who is currently working in 2021. He managed to get 72 pairs of income data, which are given in the table below. Based on his observation, he hypothesized that rich children have rich fathers.
No | income_child | income_father |
1 | 2100 | 900 |
2 | 1200 | 1200 |
3 | 4500 | 4770 |
4 | 2700 | 3180 |
5 | 3000 | 2385 |
6 | 4500 | 6360 |
7 | 4500 | 4770 |
8 | 3000 | 15900 |
9 | 1500 | 1590 |
10 | 2520 | 4770 |
11 | 4500 | 11130 |
12 | 4500 | 4770 |
13 | 1500 | 7950 |
14 | 4500 | 4770 |
15 | 3000 | 3180 |
16 | 1200 | 1908 |
17 | 3750 | 5088 |
18 | 3000 | 6010 |
19 | 2850 | 3498 |
20 | 3750 | 6360 |
21 | 2700 | 3975 |
22 | 4500 | 7950 |
23 | 1500 | 9540 |
24 | 3150 | 3180 |
25 | 3000 | 3180 |
26 | 3000 | 3180 |
27 | 2250 | 2385 |
28 | 1500 | 3180 |
29 | 4500 | 4770 |
30 | 4500 | 1590 |
31 | 1200 | 1908 |
32 | 3000 | 4770 |
33 | 1800 | 3975 |
34 | 4500 | 4770 |
35 | 3000 | 3180 |
36 | 2250 | 4770 |
37 | 750 | 954 |
38 | 1800 | 6000 |
39 | 3000 | 1500 |
40 | 630 | 600 |
41 | 600 | 600 |
42 | 2400 | 2400 |
43 | 600 | 600 |
44 | 4500 | 1500 |
45 | 450 | 450 |
46 | 1500 | 1500 |
47 | 2400 | 1800 |
48 | 300 | 600 |
49 | 900 | 900 |
50 | 900 | 300 |
51 | 1200 | 1500 |
52 | 1710 | 900 |
53 | 240 | 360 |
54 | 3000 | 3300 |
55 | 1800 | 2400 |
56 | 1500 | 1200 |
57 | 2400 | 1350 |
58 | 1500 | 450 |
59 | 1800 | 150 |
60 | 3600 | 1050 |
61 | 600 | 900 |
62 | 360 | 750 |
63 | 900 | 900 |
64 | 6000 | 3600 |
65 | 2400 | 1200 |
66 | 600 | 600 |
67 | 6000 | 6000 |
68 | 1500 | 1500 |
69 | 1500 | 2400 |
70 | 450 | 900 |
71 | 150 | 180 |
72 | 3000 | 3000 |
(a) Using relevant Excel reports, describe and state the values of three location measures and three dispersion measures of monthly income of child and father in 2021. (b) Use relevant charts to describe monthly income of child and father in 2021 to aid Mr Tan's visualisation of his hypothesis. (c) Develop a summary report to address Mr Tan's hypothesis. You are expected to provide interpretation to numerical measures and charts in parts (a) and (b). You are not required to do any further inferential analysis, or report the numerical measures and charts again.
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