According to the historical data, the life expectancy in Germany is less than the life expectancy in the United States. A new study has been made to see whether this has changed. Records of 270 individuals from Germany who died recently are selected at random. The 270 individuals lived a mean of 77.7 years with a standard deviation of 5.7 years. Records of 290 individuals from the United States who died recently are selected at random and independently. The 290 individuals lived a mean of 76.8 years with a standard deviation of 6.8 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 90% confidence interval for u, -u,, the difference between the life expectancy u, in Germany and the life expectancy u, in the United States. Then find the lower limit and upper limit of the 90% 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: || Upper limit:

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According to the historical data, the life expectancy in Germany is less than the life expectancy in the United States. A new study has been
made to see whether this has changed. Records of 270 individuals from Germany who died recently are selected at random. The 270
individuals lived a mean of 77.7 years with a standard deviation of 5.7 years. Records of 290 individuals from the United States who died
recently are selected at random and independently. The 290 individuals lived a mean of 76.8 years with a standard deviation of 6.8 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 90% confidence interval for µ, -H,, the difference between the life expectancy u, in Germany
1
and the life expectancy u, in the United States. Then find the lower limit and upper limit of the 90% 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:
Upper limit: |
Transcribed Image Text:According to the historical data, the life expectancy in Germany is less than the life expectancy in the United States. A new study has been made to see whether this has changed. Records of 270 individuals from Germany who died recently are selected at random. The 270 individuals lived a mean of 77.7 years with a standard deviation of 5.7 years. Records of 290 individuals from the United States who died recently are selected at random and independently. The 290 individuals lived a mean of 76.8 years with a standard deviation of 6.8 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 90% confidence interval for µ, -H,, the difference between the life expectancy u, in Germany 1 and the life expectancy u, in the United States. Then find the lower limit and upper limit of the 90% 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: Upper limit: |
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