Carry your intermediate computations to at least three decimal places. Round you

Question

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.)

What is the lower limit of the 95% confidence interval?

What is the upper limit of the 95% confidence interval?

According to the historical data, the life expectancy in the United States is less than the life expectancy in Ireland. A new study has been made to see whether this has changed. Records of individuals from the United States who died recently are selected at random. The individuals lived a mean of years with a standard deviation of years. Records of individuals from Ireland who died recently are selected at random and independently. The individuals lived a mean of years with a standard deviation of 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 confidence interval for , the difference between the life expectancy in the United States and the life expectancy in Ireland. Then complete the table below.

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.)

275

Explanation / Answer

here std error of difference =(s12/n1+s22/n2)1/2 =0.4909

and for 95% CI, z=1.96

hence confidence interval =(x1-x2)+/- z*std error =0.1379 ; 2.0621

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