A local hospital is trying to assess its performance vis--vis national performance. The Department of Health has

A local hospital is trying to assess its performance vis-à-vis national performance.

The Department of Health has recently indicated that, nationally, for a particular hospital-based treatment the mean length of stay of patients in hospital was 8.6 days. The local hospital has checked the records of 150 of its patients who have recently been discharged from hospital having received this treatment and found the mean LOS was 7.5 days, standard deviation 1.1 days. The hospital manager is keen to contact the local media to publicise that the hospital is performing better than the national average in this treatment area. Would you recommend her to do this?