Confidence interval for the difference of population means; Use... According to the historical data, the life expectancy in the United Kingdom is less than the life expectancy in the United States. A new study has been made to see whether this has changed. Records of 250 individuals from the United Kingdom who died recently are selected at random. The 250 individuals lived a mean of 78.2 years with a standard deviation of 5.4 years. Records of 200 individuals from the United States who died recently are selected at random and independently. The 200 individuals lived a mean of 76.6 years with a standard deviation of 6.7 years. Assume that the population standard deviations of lifetimes in these two countries can be estimated by the sample standard deviations, as the samples used were quite large. Construct a 95% confidence interval for H -H,, the difference between the life expectancy u, in the United Kingdom and the life expectancy u, in the United States. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: X ? Upper limit