Question

1. Have following data:

0.66	5.12	13.5	15.5	2.73	2.42	6.25	6.89	12.4	4.37
4.91	15.0	5.75	2.74	6.89	2.98	27.9	13.2	2.17	0.38
8.99	58.1	0.65	17.6	16.7	10.6	12.1	12.7	0.92	9.06
12.8	1.54	0.96	6.67	5.69	3.82	4.63	3.41	1.9	1.87
20.2	3.62	62.1	11.2	6.63	10.2	7.89	0.32	0.79	7.09

Use Histogram to check what type of distribution these values are; b) use Chi-square testing to test your hypothesis. (Suggest using 10 cells and using Excel to deal with these values).

1. Have following data:

0.66	5.12	13.5	15.5	2.73	2.42	6.25	6.89	12.4	4.37
4.91	15.0	5.75	2.74	6.89	2.98	27.9	13.2	2.17	0.38
8.99	58.1	0.65	17.6	16.7	10.6	12.1	12.7	0.92	9.06
12.8	1.54	0.96	6.67	5.69	3.82	4.63	3.41	1.9	1.87
20.2	3.62	62.1	11.2	6.63	10.2	7.89	0.32	0.79	7.09

Use Histogram to check what type of distribution these values are; b) use Chi-square testing to test your hypothesis. (Suggest using 10 cells and using Excel to deal with these values).

Answer 1

The histogram is:

The data is skewed to the right.

		Col 1	Col 2	Col 3	Col 4	Col 5	Col 6	Col 7	Col 8	Col 9	Col 10	Total
Row 1		1	5	14	16	3	2	6	7	12	4	70
Row 2		5	15	6	3	7	3	28	13	2	0	82
Row 3		9	58	1	18	17	11	12	13	1	9	147
Row 4		13	2	1	7	6	4	5	3	2	2	43
Row 5		20	4	62	11	7	10	8	0	1	7	130
Total		48	83	83	54	39	30	59	37	18	23	473
		322.83	chi-square
		36	df
		8.52E-48	p-value

Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.