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 0.10 significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal.

Actress's Age	17	25	28	57	27
Actor's Age	50	40	60	55	40

In this​ example, μ_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?

Identify the test statistic.

t = ____ ​(Round to two decimal places as​ needed.)

Identify the​ P-value.

​P-value = ____ ​(Round to three decimal places as​ needed.)

What is the conclusion based on the hypothesis​ test?

Since the​ P-value is (greater or less) than the significance​ level, (reject or fail to reject) the null hypothesis. There (is not or is) sufficient evidence to support the claim that there is a difference between the ages of actresses and actors when they win the award.

Answer 1