In the general population, patients who are recovering from bronchial pneumonia normally take a mean (average) of 4

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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 currently known is whether the new medication will impact duration of hospital stay. The first 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 of hospital stay because of the new medication? 

 

1. For this problem, the correct sign for the critical value should be:

A. +

B. -

C. +/-

D. >

E. <

 

 

2.The most appropriate null hypothesis (in words) should be:

 

A. There is a significant difference in the duration of hospital stay when patients administered the new medication are compared to the general population of patients not receiving this medication.

 

B. 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 receiving this medication.

 

C. Duration of hospital stay is not significantly increased for patients administered the new medication compared to the general population of patients not receiving this medication.

 

D. Duration of hospital stay is significantly decreased for patients administered the new medication compared to the general population of patients not receiving this medication.

 

 

3.The most appropriate alternative hypothesis (in words) would be:

A. There is a significant difference in the duration of hospital stay when patients administered the new medication are compared to the general population of patients not receiving this medication.

 

B. 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 receiving this medication.

 

C. Duration of hospital stay is significantly decreased for patients administered the new medication compared to the general population of patients not receiving this medication.

 

D. Duration of hospital stay is significantly increased for patients administered the new medication compared to the general population of patients not receiving this medication.