You work as a quality control inspector at the Oreo cookie factory. Your quality control standards for a package of Oreo cookies include a mean of 515 grams and a standard deviation of 5 grams you pull a package of Oreos from production and it weighs 500 grams what is the z score

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?