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 290 individuals from the United States who died recently are selected at random. The 290 individuals lived an average of 77.6 years with a standard deviation of 6.0 years. Records of 235 individuals from Ireland who died recently are selected at random and independently. The 235 individuals lived an average of 76.3 years with a standard deviation of 5.6 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 0.05 level of significance, is there enough evidence to support the claim that the life expectancy, u, in the United States is greater than the life expectancy, µ‚, in Ireland? Perform a one-tailed test. Then fill in the table below.

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 290 individuals from the United States who died recently are selected at random. The 290 individuals lived an average of 77.6 years with a standard deviation of 6.0 years. Records of 235 individuals from Ireland who died recently are selected at random and independently. The 235 individuals lived an average of 76.3 years with a standard deviation of 5.6 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 0.05 level of significance, is there enough evidence to support the claim that the life expectancy, u, in the United States is greater than the life expectancy, µ‚, in Ireland? Perform a one-tailed test. Then fill in the table below.

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

100%

The null hypothesis:
H, :0
The alternative hypothesis:
H :0
The type of test statistic:
(Choose one) v
The value of the test statistic:
(Round to at least three
decimal places.)
The critical value at the 0.05
level of significance:
(Round to at least three
decimal places.)
Can we support the claim that the life expectancy
in the United States is greater than the life
expectancy in Ireland?
O Yes
No

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 290 individuals from the United States who died recently are selected at random. The
290 individuals lived an average of 77.6 years with a standard deviation of 6.0 years. Records of 235 individuals from Ireland who died
recently are selected at random and independently. The 235 individuals lived an average of 76.3 years with a standard deviation of 5.6 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 0.05 level of significance, is there enough evidence to support the claim that
in the United States is greater than the life expectancy, u,, in Ireland? Perform a one-tailed test. Then fill in the table
the life expectancy, µ ,
below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult
a list of formulas.)

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