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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

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.

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