Question

The length of maternity stay in U.S. hospitals is normally distributed, with mean of 2.5 days and a standard deviation of 1.1 days. We randomly survey 92 women who recently bore children in U.S. hospitals.

Let X= maternity stay in U.S. hospital, and X¯= average maternity stay for a sample of size 92 .

1.   X∼ (pick one)PBEN ( , ) .
2. 
   
3.   X¯∼ (pick one)PBEN ( , ) .
4. 
   
5.    What is the probability that the average stay is more than 3 days?
   

   P(X¯>3)=

6. 
   
7.    Which of the following is more likely?
   

   an individual stays more than 5 days the average stay of 92 women was more than 5 days

Answer 1

So the probability that an individual stays more than 5 days is 0.0116

But probability of average stay of 92 women was more than 5 day is 0 .

So the event of an individual stays more than 5 day is more likely because it has higher probability than the average .