A study was conducted to compare the costs of supporting a family of four Canadians for a year in different foreign cities. The lifestyle of living in Canada on an annual income of $75,000 was the standard against which living in foreign cities was compared. A comparable living standard in Perth, Australia, and Mexico City was attained for about $64,000. Suppose an executive wants to determine whether there is any difference in the average annual cost of supporting her family of four in the manner to which they are accustomed in Perth and Mexico City. She uses the following data, randomly gathered from 11 families in each city, and an α of 0.01 to test this difference. She assumes the annual cost is normally distributed and the population variances are equal. What does the executive find?Use the data from the table to construct a 95% confidence interval to estimate the difference in average annual costs between the two cities.

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Perth, Australia $69,000 64,500 67,500 64,500 66,700 68,000 65,000 69,000 71,000 68,500 67,500 Mexico City $64,000 64,000 66,000 64,900 62,000 60,500 62,500 63,000 64,500 63,500 62,400