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) 29 28 28 27 35 25 25 45 33 36   Actor (years) 66 37 37 41 33 35 53 38 35 42   a. Use the sample data with a 0.05 significance level to test the claim that for the population of ages of Best

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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)
29
28
28
27
35
25
25
45
33
36
 
Actor (years)
66
37
37
41
33
35
53
38
35
42
 
a. Use the sample data with a
0.05
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, μd 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?
 
 
Also, how do I find the confidence interval?
 
Please walk me through how to solve this on my TI-84. Thank you!
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