At a certain hospital a doctor wanted to calculate a confidence interval for the birth weights of new born babies that are born pre term to determine if their birth weights are lower. From hospital records it is determined that the population standard deviation of birth weights of babies is 1.8 lbs. A random sample of N=36 pre term babies is taken and it is found that the sample mean birth weight is 5.4 Ibs. Construct a 90% confidence interval for the mean weight of pre term new born babies. (5.01,5.78) (4.8,5.99) (4.9,5.9)

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