A doctor is experimenting with a new medicine, which will reduce the average time of recovery for her patients. In her previous records, one patient took an average time of four hours to recover from his illness.

Ten patients had been selected for her experiment and their body temperatures had been measured every half hour after taking the medicine. The following table shows the recovery time taken by the 10 patients:

Recovery Time (in hours)

2.75 2.5 3.25 4.25 5.5 4 5 3 4.75 4 Conduct an appropriate hypothesis testing at a 5%

significance level for the doctor. Based on the sample information, what conclusion should she derive from her experiment?