Question

According to the historical data, the life expectancy in Argentina is equal to the life expectancy in Bolivia. A new study has been made to see whether this has changed. Records of

240

individuals from Argentina who died recently are selected at random. The

240

individuals lived an average of

74.6

years with a standard deviation of

4.6

years. Records of

250

individuals from Bolivia who died recently are selected at random and independently. The

250

individuals lived an average of

75.6

years with a standard deviation of

4.4

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

0.01

level of significance, is there enough evidence to support the claim that the life expectancy,

μ1

, in Argentina is not equal to the life expectancy,

μ2

, in Bolivia 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.)

The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF (please tell me the degree of freedom if it is anything other than Z) 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 Argentina is not equal to the life expectancy in Bolivia? Yes No

Answer 1

Here we conduct the t-test .

All the answers in above output>

The above result we conclude that the,

Yes, we support the claim that the life expectancy in Argentina is not equal to the life expectancy in Bolivia.