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

Question 364879: A psychologist would like to determine whether there is a relation between depression and aging. It is known that the general population averages � = 40 on a standardized depression test.
The psychologist obtains a sample of n = 9 individuals who are all older than the age of 70. the 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.

Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
Ho: (no diff from general population)
Ha: (diff from general population)
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sample info n=9, xbar=44, s=4.5
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statistic t=
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critical value: =-+2.31
pvalue=0.028
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Since statistic =-2.67 exceeds the critical value or since
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Conclusion: Reject Ho and report that depression for elderly people is significantly different from depression in the general population
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