Question: Are Best Actresses Younger than Best Actors? Listed below are ages of actresses and actors at the times that they won Oscars. The data are paired according to the years that they won. Use a 0.05 significance level to test the common belief that best actresses are younger than best actors. Does the result suggest a problem in our culture?

Best actresses 28 32 27 27 26 24 25 29 41 40 27 42 33 21 35

Best actors 62 41 52 41 34 40 56 41 39 49 48 56 42 62 29