Question 301945:  Hospital administrators wish to determine the average length of stay for all surgical patients.  A statistician determines that a 95% confidence level estimate of the average length of stay to within 0.50 days, 100 surgical patients' records would have to be examined.  How many records should be looked at for a 95% confidence level within 0.25 days? 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! Hospital administrators wish to determine the average length of stay for all surgical patients. A statistician determines that a 95% confidence level estimate of the average length of stay to within 0.50 days, 100 surgical patients' records would have to be examined. How many records should be looked at for a 95% confidence level within 0.25 days? 
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Solve for s : 
100 = [1.96*s/0.5] 
50 = 1.96s 
s = 25.51 
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Solve for "n": 
n = [1.96*25.51/0.25]^2 
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n = [200]^2 
n = 40,000 
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Cheers, 
Stan H. 
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