question archive In the general population, patients who are recovering from bronchial pneumonia normally take a mean (average) of 4
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?
- What is the value of the standard error?
A. 1.19
B. 0.54
C. 2.10
D. 4.60
E. 0.36
2.Which of the following is the calculated/obtained test statistic for this problem?
A. t = 1.96
B. z = 1.96
C. t = 5.91
D. z = 5.91
E. z = 2.71
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Standard error is obtained by the formula;
S.E = σ/√n where σ is the population standard deviation and n is the sample size.
So we have;
S.E = 1.82/√25
= 0.36
Since the population standard deviation is known, we use Z for the test statistic
Z = (2.60 - 4.75)/(1.82/√25)
= -5.91
