# SOLUTION: A psychologist would like to determine whether there is a relation between depression and aging. It is known that the general population averages µ = 40 on a standardized depressio

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 Click here to see ALL problems on Probability-and-statistics Question 281856: A psychologist would like to determine whether there is a relation between depression and aging. It is known that the general population averages µ = 40 on a standardized depression test. The psychologist obtains a sample of n = 36 individuals who are all older than the age of 70. The average depression score for this sample is M = 44.5 with SS = 5040. 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.Answer by stanbon(57290)   (Show Source): You can put this solution on YOUR website!A psychologist would like to determine whether there is a relation between depression and aging. It is known that the general population averages µ = 40 on a standardized depression test. The psychologist obtains a sample of n = 36 individuals who are all older than the age of 70. The average depression score for this sample is M = 44.5 with SS = 5040. 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. --------------------------- Ho: u = 40 Ha: u is not equal to 40 ---------------- test stat: t(44.5) = (44.5-40)/[s/sqrt(36)] --- Note: You say SS=5040. You did not post the standard deviation of the population or of the sample. --- Cheers, Stan H.