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) 28 Actor (years) 56 Identify the test statistic. 31 33 30 27 38 23 39 40 33 35 26 43 33 52 37 34 42 36 D 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 less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that actresses are generally younger when they won the award than actors.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 88CR
icon
Related questions
Question
K
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) 28 31
Actor (years) 56 33
30 27 38 23 26
39 40 33 35 52
43 33
37 34
36 D
42
that actresses are generally younger when they won the award than actors.
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)?
year(s).
The confidence interval is year(s) <<
(Round to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains only negative numbers, reject
the null hypothesis.
Transcribed Image Text:K 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) 28 31 Actor (years) 56 33 30 27 38 23 26 39 40 33 35 52 43 33 37 34 36 D 42 that actresses are generally younger when they won the award than actors. 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)? year(s). The confidence interval is year(s) << (Round to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains only negative numbers, reject the null hypothesis.
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) 28
Actor (years) 56
Identify the test statistic.
31 30 27 38 23
33 39 40 33 35
26 43 33
52 37 34 42
36 D
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 less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim
that actresses are generally younger when they won the award than actors.
Transcribed Image Text: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) 28 Actor (years) 56 Identify the test statistic. 31 30 27 38 23 33 39 40 33 35 26 43 33 52 37 34 42 36 D 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 less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that actresses are generally younger when they won the award than actors.
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt