Question 364879
Ho: {{{mu=40}}}  (no diff from general population)
Ha:{{{mu<>40}}}   (diff from general population)
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{{{alpha=0.05}}}
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sample info  n=9, xbar=44, s=4.5
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statistic  t={{{(xbar-mu)/(s/sqrt(n))=(44-40)/(4.5/sqrt(9))=-2.67}}}
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critical value:  {{{t[c]=t[.05,8]}}}=-+2.31
pvalue=0.028
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Since statistic =-2.67 exceeds the critical value or since {{{pvalue<alpha}}}
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Conclusion:  Reject Ho and report that depression for elderly people is significantly different from depression in the general population