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 63.8 years 30 Country B 66.5 years 30 Sample mean Sample size Population standard deviation 5.0 years 5.3 years a. Perform a hypothesis test using a = 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. O A. Ho:141 - H280 H1:41 - H2 = 0 O C. Ho:141 - H2 <0 H1:441 - H220 O E. Ho: My - 42 50 H4:41 - H2> 0 O B. Ho: 41 – 42 = 0 HY:M1 - H270 O D. Ho:141 - H2>0 H1:41 - 42 50 F. Ho:141 - 4220 H4:41 - H2 <0 Calculate the appropriate test statistic. The test statistic is (Round to two decimal places as needed.)

Answer 1

The statistic software output for this problem is:

Two sample Z summary hypothesis test: Pi : Mean of population 1 (Std. dev. = 5) H2 : Mean of population 2 (Std. dev. = 5.3) Vi - P2 : Difference between two means Ho : H1 - H2 = 0 HA: V1 - H2 <0 Hypothesis test results: Difference ni n2 Sample mean Std. err. Z-stat H1 - H2 30 30 -2.7 1.3302882 -2.0296354 P-value 0.0212

Test statistics = -2.03