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...

Extracted text: 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 of 250 individuals from the United States who died recently are selected at random. The 250 individuals lived an average of 77.8 years with a standard deviation of 7.4 years. Records of 260 individuals from Ireland who died recently are selected at random and independently. The 260 individuals lived an average of 76.1 years with a standard deviation of 6.2 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 the 0.01 level of significance, is there enough evidence to support the claim that the life expectancy, l1, in the United States is greater than the life expectancy, , in Ireland? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H . H, : H1 = 2 S H : 44 > 2 (b) Determine the type of test statistic to use. Degrees of freedom:| O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O