1. Data were collected on duration of hospitalization (LOS) among patients who were antibiotic users (ANTIB = 1) and patients who were not antibiotic users (ANTIB = 2). The data for 25 patients involved in the study are provided in the table below. Past research has indicated that LOS is approximately normally-distributed. The researchers conduct a test of equality of variance, and the results indicate that the variances in the two groups of patients differ significantly. Conduct the appropriate statistical test to determine if LOS differs in the two groups of patients (ANTIB = 1 vs ANTIB =2). Assume =0.05.

ID	LOS	AGE	SEX	TEMP	ANTIB
1	5	30	2	99	2
2	10	73	2	98	2
3	6	40	2	99	2
4	11	47	2	98.2	2
5	5	25	2	98.5	2
6	14	82	1	96.8	1
7	30	60	1	99.5	1
8	11	56	2	98.6	2
9	17	43	2	98	2
10	3	50	1	98	2
11	9	59	2	97.6	2
12	3	4	1	97.8	2
13	8	22	2	99.5	1
14	8	33	2	98.4	1
15	5	20	2	98.4	2
16	5	32	1	99	2
17	7	36	1	99.2	1
18	4	69	1	98	2
19	3	47	1	97	1
20	7	22	1	98.2	2
21	9	11	1	98.2	2
22	11	19	1	98.6	1
23	11	67	2	97.6	2
24	9	43	2	98.6	2
25	4	41	2	98	2

The p-value =0.26955 which is greater than 0.05 hence we reject the null hypothesis, there is not enough evidence to prove that LOS differs in the two groups of patients.