Question

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

275

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

275

individuals lived an average of

63.6

years with a standard deviation of

2.8

years. Records of

230

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

230

individuals lived an average of

63.0

years with a standard deviation of

2.8

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,

μ1

, in Egypt is not equal to the life expectancy,

μ2

, in Morocco 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.

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF
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 Egypt is not equal to the life expectancy in Morocco?		Yes	No

Answer 1