In: Statistics and Probability
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 |
25 |
33 |
27 |
34 |
28 |
24 |
41 |
31 |
33 |
|
Actor (years) |
68 |
34 |
35 |
37 |
27 |
34 |
49 |
38 |
33 |
44 |
H1: μd< 0 years
Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is