According to the historical data, the life expectancy in the United States is less than or equal to the life expectancy in Ireland. A new study has been made to see whether this has changed. Records of280

individuals from the United States who died recently are selected at random. The280

individuals lived an average of77.6

years with a standard deviation of6.5

years. Records of255

individuals from Ireland who died recently are selected at random and independently. The255

individuals lived an average of76.3

years with a standard deviation of5.6

years. Assume that the population standard deviations of the life expectancies can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. At the0.05

level of significance, is there enough evidence to support the claim that the life expectancy,

1

, in the United States is greater than the life expectancy,

2

, in Ireland? Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult alist of formulas.)