Question

These numbers have been drawn from a uniform distribution with range 1-40.

4, 6, 16, 12, 23, 19, 16 26, 14, 12, 12, 10, 3, 26, 35, 8, 30, 11, 14, 34, 37, 16, 36, 30, 18, 39, 24, 18, 39, 5, 12, 28, 4, 12, 34, 16, 35, 27, 15, 1

Test the sample for randomness using:

1. a graphical method.

Answer 1

Serial Number	Observation
1	4
2	6
3	16
4	12
5	23
6	19
7	16
8	26
9	14
10	12
11	12
12	10
13	3
14	26
15	35
16	8
17	30
18	11
19	14
20	34
21	37
22	16
23	36
24	30
25	18
26	39
27	24
28	18
29	39
30	5
31	12
32	28
33	4
34	12
35	34
36	16
37	35
38	27
39	15
40	1

From the above scatter plot, the width of the scatter is increased from left to right as a funnel shape. Hence, it has a pattern and violates the randomness of the sample.