According to the historical data, the life expectancy in the United States is less than or equal to the life expectancy in Ireland. A new study has been made to see whether this has changed. Records of 250 individuals from the United States who died recently are selected at random. The 250 individuals lived an average of 77.8 years with a standard deviation of 7.4 years. Records of 260 individuals from Ireland who died recently are selected at random and independently. The 260 individuals lived an average of 76.1 years with a standard deviation of 6.2 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 the 0.01 level of significance, is there enough evidence to support the claim that the life expectancy, µ1, in the United States is greater than the life expectancy, l, in Ireland? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)

Q: h° +3h – k p2 +85

A: Solved below

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.