Read the following data description and answer questions 5.

The table below presents the results of a clinical trial to test the effectiveness of two drugs in reducing the hospital length of stay (LOS) post-operation. One sample of patients was given drug 1 and another was given drug 2. Both samples had their LOS in days recorded. The aim is to see if a new treatment (drug 2) leads to a different LOS post-operation than the existing drug (drug 1).

The samples have been selected so that the data are statistically independent.

Drug 1	Drug 2
Patient number	LOS (days)	Patient number	LOS (days)
1	7.48	26	5.83
2	6.64	27	7.2
3	8.27	28	6.99
4	7.52	29	8.89
5	8.99	30	5.22
6	8.41	31	6.14
7	8.08	32	5.88
8	9.55	33	6.45
9	8.03	34	6.49
10	8.98	35	6.71
11	7.77	36	6.54
12	7.29	37	7.91
13	7.81	38	7.69
14	8.55	39	6.69
15	8.2	40	6.79
16	6.46	41	6.3
17	7.53	42	6.93
18	7.71	43	8.34
19	7.01	44	4.57
20	7.7	45	5.37
21	6.36	46	5.38
22	8.33	47	6.24
23	7.54	48	5.98
24	7.55	49	5.9
25	10.08	50	6.92

1. Test the hypothesis that the mean hospital LOS for drug 1 is different to the mean hospital LOS for drug 2, stating the test statistic to 1 decimal place. As part of your answer, you should:

1. State what is the appropriate statistical test to use and why
2. Correctly report and interpret the results of the hypothesis test.