According to the historical data, the life expectancy in Belgium is less than the life expectancy in the United States. A new study has been made to see whether this has changed. Records of 220 individuals from Belgium who died recently are selected at random. The 220 individuals lived a mean of 78.2 years with a standard deviation of 7.7 years. Records of 205 individuals from the United States who died recently are selected at random and independently. The 205 individuals lived a mean of 76.7 years with a standard deviation of 6.6 years. Assume that the population standard deviations of lifetimes in these two countrie can be estimated by the sample standard deviations, as the samples used were quite large. Construct a 90% confidence interval for u, -H2, the difference between the life expectancy u, in Belgium and the life expectancy µ, in the United States. 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.) What is the lower limit of the 90% confidence interval? What is the upper limit of the 90% confidence interval?

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According to the historical data, the life expectancy in Belgium is less than the life expectancy in the United States. A new study has been made to see whether
this has changed. Records of 220 individuals from Belgium who died recently are selected at random. The 220 individuals lived a mean of 78.2 years with a
standard deviation of 7.7 years. Records of 205 individuals from the United States who died recently are selected at random and independently. The 205
individuals lived a mean of 76.7 years with a standard deviation of 6.6 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, - u,, the difference
between the life expectancy u, in Belgium and the life expectancy u, in the United States. 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.)
What is the lower limit of the 90% confidence interval?
What is the upper limit of the 90% confidence interval?
Transcribed Image Text:According to the historical data, the life expectancy in Belgium is less than the life expectancy in the United States. A new study has been made to see whether this has changed. Records of 220 individuals from Belgium who died recently are selected at random. The 220 individuals lived a mean of 78.2 years with a standard deviation of 7.7 years. Records of 205 individuals from the United States who died recently are selected at random and independently. The 205 individuals lived a mean of 76.7 years with a standard deviation of 6.6 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, - u,, the difference between the life expectancy u, in Belgium and the life expectancy u, in the United States. 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.) What is the lower limit of the 90% confidence interval? What is the upper limit of the 90% confidence interval?
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