On a test that has a normal distribution, a score of 38 falls three standard deviations above the mean, and a score of 26 falls one standard deviation above the mean. Determine the mean of this test.

Aresearcher believes increased perceived control influence the well-being of residents at a nursing home. to test this , she allowed one group of residents to have control over their daily lies, (where to eat etc) . the other group of 5 residents had these deceisions made by staff. the resident's feelings of well-being were measured on a 10 point scale at the end of a one month trial period. is there a difference on well-being?