Question

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. Complete parts​ (a) and​ (b) below

Actress (years)   Actor (years)
25   64
31   37
29   35
31   39
34   31
29   36
26   53
40   37
29   39

Use the sample data with a

0.01

significance level to test the claim that for the population of ages 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).
In this​ example, q 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?

identify the test statistic (Round to two decimal places as​ needed.)

What is the conclusion based on the hypothesis​ test?

Answer 1

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