According to the historical data, the life expectancy in the United States is equal to the life expectancy in Japan. A new study has been made to see whether this has changed. Records of215individuals from the United States who died recently are selected at random. The215individuals lived an average of77.5years with a standard deviation of4.3years. Records of285individuals from Japan who died recently are selected at random and independently. The285individuals lived an average of76.7years with a standard deviation of4.6years. 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 the0.1level of significance, is there enough evidence to support the claim that the life expectancy,₁, in the United States is not equal to the life expectancy,₂, in Japan anymore?

The null hypothesis: H₀: _?

The alternative hypothesis: H₁: _?

The type of test statistic:(Choose one) Z, t ,Chi square or F?

The value of the test statistic: _ ?

(Round to at least three decimal places.)

The two critical values at the0.1 level of significance: _? and _ ?

(Round to at least three decimal places.)

Can we support the claim that the life expectancy in the United States is not equal to the life expectancy in Japan? Yes or No