According to the historical data, the Me expectancy in France is less than the life expectancy in Germany. A new study has been made to see whether this has changed. Pecords of 300 individuals from France who died recently are selected at random. The 300 individuals lived a mean of 78.2 years with a standard deviation of 8.1 years. Records of 270 individuals from Germany who died recently are selected at random and independently. The 270 individuals lived a mean of 77 years with a standard deviation of 6.7 years. Assume that the pooulation standord deviations of lifetimes in these two countries can be estimated by the samole standard deviations, as the sampies used were quite large. Construct a 90% cocfidence intecyal for 1H2, the difference between the life expectancy 1 in France and the life expectancy 2 in Germany. Then find the lower limit and upper limit of the 90% contidence interval. Carry your intermed ate computations to at least three decimal ploces. Round your answers to at least two decimal places. (If necessary, consult a list. of (ormular-)