Problem 4 The length of maternity stay in U.S hospitais is normally distributed,

Question

Problem 4 The length of maternity stay in U.S hospitais is normally distributed, with mean of 3.1 days and a standard deviation of 0.7 days. We randomly survey 74 women who recently bore children in U.S. hospitalk. Let X = maternity stay in US hospital, and X= average maternity stay for a sample of size 74. a. X ~ (pick one): b. X~ [(pick one) c. What is the probability that the average stay is more than 3 days? PR > 3) = d. Which of the following is more likely? an individual stays more than 5 days the average stay of 74 women was more than 5 days

Explanation / Answer

a)X ~ Normal (N) (3.1 ,0.72)

b) Xbar ~ Normal (N) (3.1 ,0.082)

c) P(Xbar>3 )=1-P(Xbar<3) =1-P(Z<(3-3.1)/0.08)=1-P(Z<-1.2289)=1-0.1096 =0.8904

d) an individual stays more than 5.

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