It is claimed that a new treatment is more effective than the standard treatment for prolonging the lives of terminal cancer patients. The standard treatment has been in use for a long time, and from records in medical journals the mean survival period has been 4.2 years with a standard deviation of 1.1 years.

The new treatment is administered to 80 patients, and their average duration of survival is calculated to be 4.5 years. Is the claim supported by these results?