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 260 individuals from Belgium who died recently are selected at random. The 260 individuals lived a mean of 78.4 years with a standard deviation of 8.8 years. Records of 285 individuals from the United States who died recently are selected at random and independently. The 285 Individuals lived a mean of 76.5 years with a standard deviation of 7.4 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 95% confidence interval for ₁-₂, the difference between the life expectancy μ₁ in Belgium and the life expectancy ₂ in the United States. Then find the lower limit and upper limit of the 95% 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: X
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 260 individuals from Belgium who died recently are selected at random. The 260 individuals lived a mean of 78.4 years with a standard deviation of 8.8 years. Records of 285 individuals from the United States who died recently are selected at random and independently. The 285 Individuals lived a mean of 76.5 years with a standard deviation of 7.4 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 95% confidence interval for ₁-₂, the difference between the life expectancy μ₁ in Belgium and the life expectancy ₂ in the United States. Then find the lower limit and upper limit of the 95% 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: X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 260 individuals from Belgium who died recently are
selected at random. The 260 individuals lived a mean of 78.4 years with a standard deviation of 8.8 years. Records of 285
individuals from the United States who died recently are selected at random and independently. The 285 Individuals lived a
mean of 76.5 years with a standard deviation of 7.4 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
95% confidence interval for ₁-₂, the difference between the life expectancy μ₁ in Belgium and the life expectancy μ₂ in the
United States. Then find the lower limit and upper limit of the 95% 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:
X
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