Suppose you have been appointed the County Executive in charge of finance in your County. You have allocated funding to two projects, Project A and Project B. By coincidence, Project B happens to be located in your Sub- County. Given below are seventy allocations to various activities in both projects (in Kshs Billions). Funding for Project A 96 21 80 38 20 60 21 50 100 15 81 06 55 40 70 70 10 30 30 35 66 53 50 60 80 35 80 55 50 49 51 60 25 90 90 50 95 50 80 65 60 55 20 30 110 65 50 65 60 80 64 50 66 35 40 60 65 50 51 81 36 90 51 80 50 55 80 30 60 96
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Suppose you have been appointed the County Executive in charge of finance in your County. You have allocated funding to two projects, Project A and Project B. By coincidence, Project B happens to be located in your Sub- County. Given below are seventy allocations to various activities in both projects (in Kshs Billions).
Funding for Project A
|
96 |
21 |
80 |
38 |
20 |
60 |
21 |
50 |
100 |
15 |
|
81 |
06 |
55 |
40 |
70 |
70 |
10 |
30 |
30 |
35 |
|
66 |
53 |
50 |
60 |
80 |
35 |
80 |
55 |
50 |
49 |
|
51 |
60 |
25 |
90 |
90 |
50 |
95 |
50 |
80 |
65 |
|
60 |
55 |
20 |
30 |
110 |
65 |
50 |
65 |
60 |
80 |
|
64 |
50 |
66 |
35 |
40 |
60 |
65 |
50 |
51 |
81 |
|
36 |
90 |
51 |
80 |
50 |
55 |
80 |
30 |
60 |
96 |
Funding for Project B
|
20 |
66 |
59 |
21 |
101 |
108 |
31 |
65 |
34 |
20 |
|
35 |
80 |
63 |
36 |
95 |
89 |
61 |
48 |
44 |
25 |
|
50 |
81 |
68 |
59 |
50 |
15 |
21 |
29 |
54 |
50 |
|
45 |
55 |
80 |
65 |
40 |
29 |
81 |
20 |
104 |
65 |
|
51 |
60 |
10 |
45 |
60 |
35 |
96 |
55 |
24 |
80 |
|
60 |
80 |
90 |
50 |
65 |
51 |
66 |
65 |
54 |
70 |
|
65 |
35 |
99 |
64 |
80 |
36 |
36 |
80 |
44 |
110 |
Required:
i. Classify this information into seven (7) equal classes using the exclusive method with a class interval of 15 and one of the lower class limits of either of the distributions must be 21.
ii. The County assembly has accused you of biasness in funds allocation and have called for your impeachment. They allege that on average you have allocated an additional Kshs 5 billion more for Project B. Based on the mean present your case to the County Assembly that this allegation is not accurate.
iii. Compute the combined standard deviation of the two projects.
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