Question

42 Question In the general population, patients who are recovering from bronchial pneumonia normally take a mean (average) of 4.75 days to leave the hospital, with a population standard deviation of 1 82 days. Medical personnel at a hospital are trying a new medication that is designed to ease breathing during recovery What is not current known is whether the new medication will impact duration of hospital stay The frst sample of 25 patients (n-25) to whom this medication was administered were released from the hospital in a mean (average) of 2.60 days. Based on this result, should the hospital conclude that there is a significant difference in duration o hospital stay because of the new medication? Using your answer to Q41, the best conclusion for this problem is: There is a significant difference in the duration of hospital stay when patients administered the new medication are compared to the general population patients not receiving this medikation. There is no significant difference in the duration of hospital stay when patients administered the new medication are compared to the general population of patients not recelving this medication. Duration of hospital stay is significantly decreased for patients administered the new medication compared to the general population of patients not n receving this medication Duration of hospital stay is significantly increased for patients administered the new medication compared to the general population of patients not n receving this medication

Answer 1

Ho :   µ =   4.75
Ha :   µ <   4.75

population std dev ,    σ =    1.82
Sample Size ,   n =    25
Sample Mean,    x̅ =   2.60

Standard Error , SE =   σ/√n =   0.3640  
          
Z-test statistic=   (x̅ - µ )/SE =    -5.91  
          
  
p-Value   =   0.0000   [excel function =NORMSDIST(z)]
Conclusion:     p-value<α=0.05, Reject null hypothesis

so, answer is option c)