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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Actress (years)	28	25	32	30	35	28	28	42	27	36
Actor (years)	65	41	34	35	29	31	48	35	41	43

Identify the test statistic.

t=enter your response here

(Round to two decimal places as needed.)

Identify the P-value.

P-value=enter your response here

(Round to three decimal places as needed.)

b. 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

enter your response here

year(s)<μd<enter your response here

year(s).

(Round to one decimal place as needed.)

Expert Solution