A psychologist is interested in the number of dreams per month that people have in which they are alone in their dream. It is known that in the general population the number of such dreams over one month follows a normal curve with μ = 5 and σ = 4. The researchers want to test the prediction that the number of such dreams will be greater among people who have recently experiences a traumatic event. The psychologist studied 36 individuals who have recently experienced a traumatic event. Their mean number of alone dreams is 8. Using the .05 level, what should the researcher conclude?