A psychologist would like to determine whether there is a relation between depression and aging. It is known that the general population averages U= 40 on a standardized depression test. The psychologist obtains a sample of N= 9 individuals who are all more than 70 years old. The Depression scores for this sample are as follows: 37, 50, 43, 41, 39, 45, 49, 44, 48. On the basis of this sample, can the psychologist conclude that depression for elderly people is significantly different from depression in the general population? Use a two-tailed test at the .05 level of significance. (show all steps and formulas including how you arrived at the critical value)