According to the historical data, the life expectancy in the United Kingdom is less than or equal to the life expectancy in the United States. A new study has been made to see whether this has changed. Records of 235 individuals from the United Kingdom who died recently are selected at random. The 235 individuals lived an average of 78.2 years with a standard deviation of 5.5 years. Records of 240 individuals from the United States who died recently are selected at random and independently. The 240 individuals lived an average of 76.6 years with a standard deviation of 6.3 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 Kingdom is greater than the life expectancy, H, in the United States? Perform a one-tailed test. Then fill in the table 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.) The null hypothesis: H. :0 The alternative hypothesis: H, :0 O=0 OSO The type of test statistic: (Choose one) O
According to the historical data, the life expectancy in the United Kingdom is less than or equal to the life expectancy in the United States. A new study has been made to see whether this has changed. Records of 235 individuals from the United Kingdom who died recently are selected at random. The 235 individuals lived an average of 78.2 years with a standard deviation of 5.5 years. Records of 240 individuals from the United States who died recently are selected at random and independently. The 240 individuals lived an average of 76.6 years with a standard deviation of 6.3 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 Kingdom is greater than the life expectancy, H, in the United States? Perform a one-tailed test. Then fill in the table 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.) The null hypothesis: H. :0 The alternative hypothesis: H, :0 O=0 OSO The type of test statistic: (Choose one) O
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 the United Kingdom is less than or equal to the life expectancy in the United States. A new study has been
made to see whether this has changed. Records of 235 individuals from the United Kingdom who died recently are selected at random. The 235 individuals lived
an average of 78.2 years with a standard deviation of 5.5 years. Records of 240 individuals from the United States who died recently are selected at random and
independently. The 240 individuals lived an average of 76.6 years with a standard deviation of 6.3 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 Kingdom is greater than the life expectancy, l,, in the
United States? Perform a one-tailed test. Then fill in the table 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.)
The null hypothesis:
H
:||
The alternative hypothesis:
H :
1
0
OSO
The type of test statistic:
(Choose one) -
O<O
The value of the test statistic:
(Round to at least three
decimal places.)
The p-value:
(Round to at least three
decimal places.)
Can we support the claim that the life expectancy
in the United Kingdom is greater than the life
expectancy in the United States?
Yes
No
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