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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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(75887) About Me  (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.
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Ho: u = 40
Ha: u is not equal to 40
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test stat: t(44.5) = (44.5-40)/[s/sqrt(36)]
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Note: You say SS=5040. You did not post the standard
deviation of the population or of the sample.
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Cheers,
Stan H.