Listed below are ages of actresses and actors at the time that they won an award

Question

Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and Best Actor. Use the sample data to test for a difference between the ages of actresses and actors when they win the award. Use a 0.01 significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. In this example, mu_d is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? A. H_0: mu_d notequalto 0 H_1 : mu_d = 0 B. H_0: mu_d notequalto 0 H_1 : mu_d > 0 C. H_0: mu_d = 0 H_1 : mu_d

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Actress's AGE and Actor's AGE
H0 : D = 0
HA : D 0
Hypothesis test results:

Hence,

t = - 3.43

Difference Mean Std. Err. DF T-Stat P-value Actress's AGE - Actor's AGE -20.4 5.95483 4 -3.4257905 0.0266

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