According to the historical data, the life expectancy in the United States is eq

Question

According to the historical data, the life expectancy in the United States is equal to the life expectancy in the United Kingdom. A new study has been made to see whether this has changed. Records of 220 individuals from the United States who died recently are selected at random. The 220 individuals lived an average of 77.6 years with a standard deviation of 4.4 years. Records of 245 individuals from the United Kingdom who died recently are selected at random and independently. The 245 individuals lived an average of 76.6 years with a standard deviation of 4.8 years. Assume that the population standard deviation of the life expectancy 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, M1, in the United States is not equal to the life expectancy, M2, in the United Kingdom anymore? Perform a two-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.)

Explanation / Answer

answer 1) =

not equal =

answer 2)z test

answer 3)2.344

answer 4)0.0191

null hypothesis rejected

yes

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