Question

The data to the right show the average retirement ages for a random sample of workers in Country A and a random sample of workers in Country B. Complete parts a and b Country A 65.2 years 30 Country B 66.8 years 30 Sample mean Sample size Population standard deviation 4.5 years 5.1 years a. Perform a hypothesis test using α= 0.05 to determine if the average retirement age in Country B is higher than it is in Country A. Let population 1 be the workers in Country A and population 2 be the workers in Country B. Identify the null and alternative hypotheses. Choose the correct answer below. Calculate the appropriate test statistic. The test statistic is (Round to two decimal places as needed.) Determine the appropriate critical value(s). The critical value(s) is(are)- (Round to three decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic in the rejection region, Ho. There is ▼| evidence to conclude that the average retirement age in Country B is higher than it is in Country A.

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Ans. Here the problem of one sided tail, and use the Z test

Giventhat X 66.8 n22 3。 XI = 65.2 o(= 0-05 = 45 4.5 , 5122 88 |z/ = 1.288 Sumce the づRadon, we may acce eu demce to Conclude that tthe average retirement age ina

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