Students applying to graduate schools in many disciplines are required to take the Graduate Record Examination (GRE). An ambitious undergraduate student creates a study program that she believes will greatly increase students' GRE scores, relative to the general population. She recruits a sample of 36 students believed to be representative of the larger undergraduate student population and puts them through the study program. Afterwards, they complete the GRE and receive a mean score of M = 1052. The GRE is normally distributed in the general population with a mean of = 1000 and a standard deviation of = 150