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    Is the life expectancy in Belgium better than in the United States?

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    According to the historical data, the life expectancy in Belgium 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 260 individuals from Belgium who died recently are selected at random. The 260 individuals lived an average of 78.3 years with a standard deviation of 8.2 years. Records of 290 individuals from the United States who died recently are selected at random and independently. The 290 individuals lived an average of 76.6 years with a standard deviation of 7.9 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 .05 level of significance, is there enough evidence to support the claim that the life expectancy, mu1, in Belgium is greater than the life expectancy, mu2, 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

    Questions:

    H0: ____
    H1:_____
    Type of test: (Z, t, F, chi squared)
    p-value:____
    Can we support the claim that the life expectancy in Belgium is greater than the life expectancy in the US? (Yes/No)

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    Problem

    According to the historical data, the life expectancy in Belgium 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 260 individuals from Belgium who died recently are selected at random. The 260 individuals lived an average of 78.3 years with a standard deviation of 8.2 years. ...

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    This posting provides solution to hypothesis testing problem for investigating if life expectancy in Belgium is better than life expectancy in United States.

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