According to the historical data, the life expectancy in France is less than or equal to the life expectancy in Germany. A new study has been made to see whether this has changed. Records of280

individuals from France who died recently are selected at random. The280

individuals lived an average of78.3

years with a standard deviation of6.7

years. Records of205

individuals from Germany who died recently are selected at random and independently. The205

individuals lived an average of76.9

years with a standard deviation of5.8

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 the0.05

level of significance, is there enough evidence to support the claim that the life expectancy,1

, in France is greater than the life expectancy,2

, in Germany? 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 alist of formulas.)

The null hypothesis:H0

:

The alternative hypothesis:H1

:

The type of test statistic:(Choose one)

Z

t

Chi square

F

The value of the test statistic:

(Round to at least three decimal places.)

The critical value at the0.05

level of significance:

(Round to at least three decimal places.)

Can we support the claim that the life expectancy in France is greater than the life expectancy in Germany?Yes

No

p

x

s

p