A researcher is interested in determining whether people who move a lot  as children have lower than average levels of well-being. She obtains a  sample of 12 people who each experienced multiple moves as a child.  These participants were given a standardized well-being  questionnaire for which the general population has a mean of 40. The well being scores for this sample are as follows:

                                                                                                                                                                                                                

x
38
37
41
35
42
40
33
33
36
38
32
39

     

On the basis of this sample, is well-being for frequent movers  significantly lower than the well-being of the general population?  Please test at an alpha level of .05.  Please show all 5 steps of  hypothesis testing .