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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 |
- 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:
- State what is the appropriate statistical test to use and why
- Correctly report and interpret the results of the hypothesis test.
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