The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Use the sample data with a 0.05 significance level to test the claim that for the population of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). Actress(years) 29 25 33 30 32 26 23 37 31 36
Actor(years) 65 37 38 36 28 31 54 42 37 38

(a) State H0 and H1.
(b) Label the critical value(s) on the appropriate distribution.
(c) State the formula used for the test statistic and determine the value.
(d) Was H0 rejected? Interpret the result of the hypothesis test.
(e) Estimate or determine the P-value.