In: Statistics and Probability
A recent health report revealed that a woman with insurance spends an average of 2.3 days in the hospital following a routine childbirth, while a woman without insurance spends an average of 1.9 days at the hospital. Two samples of 16 women each were used in both samples. The standard deviation of the first sample is equal to 0.6 day, and the standard deviation of the second sample is 0.3 day. At ?=0.01, test the claim that the means are equal. Find the 99% confidence interval for the differences of the means and compare the result of the hypothesis test to the one for the confidence interval.